As I see it, what you are apparently not understanding is, why is it that I can use a 250A breaker on conductors for a motor circuit that are not rated to carry 250A? Is that correct? If so, here's the deal-e-o...
BECAUSE it is a SINGLE motor branch circuit, you are REQUIRED to provide running thermal overload protection for that motor, usually either in the form of an "overload relay" or on small motors, embedded thermal protection switches (called "Klixons" because that's a common brand name) , but only if the motor nameplate SPECIFICALLY says it is "Thermally Protected". Either way, the thermal protection device for the MOTOR is understood to also provide thermal over CURRENT protection for the conductors going to that motor. The OL relay will not however provide Branch Short Circuit and Ground Fault Protection, so that function must be provided by fuses or a circuit breaker. THEN, because the starting current for a motor can be very very high (albeit for a very short amount of time), you are allowed to OVER SIZE that SC/GFP device within certain limits. You size your conductors for a minimum of 125% of the motor HP FLC from table 430.150 of the NEC, which says 77A for a 60HP motor, so 96.25A minimum, which, not knowing anything else, would fall into the area of #3 cable rated at 75C. But technically, although you have sized your conductors for 100A, it is the running overload protection for that motor which is also protecting those conductors, the 250A breaker would ONLY be protecting everything from Short Circuit.
What others have questioned is that the basic rule says the CB can be sized at 250% of the motor FLC, so 192.5A, rounded up to the next size makes it 200A. The only time you can go higher is if you PROVE to an AHJ that a 200A breaker will not hold in under starting current conditions, which is unlikely. So yes, the breaker SHOULD have been 200A, not 250A.
The next question is, why have you put in 100A fuses AND a 250A circuit breaker? Do you not have a motor starter with an overload relay? If not, how is the motor turning on and off and what is protecting it? Are you using the disconnect switch for that, and assuming the 100A fuses will act as the motor thermal overload protection? That's remotely possible to do but much much trickier to determine if it will do so properly to protect the motor and not clear on starting current. ASSuming is not allowed.