Calculating value of C for a known value of L @ 60 Hz. to correct Power Factor

Work in complex numbers. Imaginary (reactive) components have to cancel exactly.

Have a heart Walter, the questioner' skills are probably elsewhere than in complex numbers, and that's alright.

The answer is, a chat with a friendly electrical engineer who would pose questions about the fiction of a pure inductance load.(infinite impedance at total PF correction) He would also need to give a little circuit theory lecture.

For a power factor lesson look at:

Art

If the load really is essentially all L, then you probably want to stay away from full compensation. You could incur dangerously high voltages &/or currents, and if the inductance is subject to saturation, troublesome hysteresis effects.