The best way to set this question up is using the Combined Gas Law
P1*V1 / T1 = P2*V2 / T2
In this question what you’re solving for is the new temperature (T2) so you can just solve that equation algebraically for T2 and then plug in the values for the other variables based on the information that we know
T2 = (P2*V2*T1) / (P1 * V1)
T2 = (3.20 atm * 90 mL * 302 K) / (0.5 atm * 180 mL)
T2 = 87000 / 90
T2 = 966.4 K
The 966.4 K would be the temperature under the new conditions