impedance matching - Conditions for maximum power transfer in an AC circuit

So, if we're given the circuit below:

Known values are:
$E_g=35 \ kV$
$f=685 \ kHz$
$\underline{Z}_g=150 \ \Omega$
$\underline{Z}_p=(200-j300) \ \Omega$

We have to calculate $L$ and $C$ to maximize the power transfer to the load $\underline{Z}_p$.

Aside from the impedance matching condition: $Z_p=Z_g^*$, is there anything else that can help me solve this circuit?