Answer
We can not construct a triangle with the values given in this question.
Work Step by Step
We can use the law of sines to find the angle $C$:
$\frac{b}{sin~B} = \frac{c}{sin~C}$
$sin~C = \frac{c~sin~B}{b}$
$sin~C = \frac{(145~m)~sin~(72.2^{\circ})}{78.3~m}$
$sin~C = 1.763$
Since there is no angle C such that $sin~C \gt 1$, the angle C is not defined. We can not construct a triangle with the values given in this question.