Capacitor voltage in LCR circuit greater than the supply - are my phasor calculations correct?
Basically what you have is a resonance circuit. The inductor and capacitor oscillate together and as a result you can end up with a higher voltage across one or other element than comes from the supply.

You can check that everything makes sense by summing up all the voltages in the circuit and you should end up with the supply voltage. I checked and if you don't round the numbers in your calculations, the voltages do all sum back up to 120.

A way to immediately see that resonance is happening is to look at the phase angles of the voltages. Notice how the voltage across the inductor has a phase angle which is 180 degrees out of phase from the capacitor. This is due to the fact that current leads voltage in a capacitor by 90 degrees, but lags voltage in an inductor by 90 degress. As a result both elements in a series circuit will have voltages which are in anti-phase.