Answer
$T=1.98h$
Work Step by Step
We know that
$T=(\frac{2\pi }{GM_m})r^{\frac{3}{2}}$
We plug in the known values to obtain:
$T=\frac{2\pi}{6.67\times 10^{-11}(7.35\times 10^{35})}(1.74\times 10^5+110\times 10^3)^{\frac{3}{2}}$
$T=7140s=1.98h$