Answer
No solution
Work Step by Step
$\sin{B} = \dfrac{b \sin{A}}{a} = \dfrac{50.2 \times \sin{124.3^\circ}}{27.3} $
$\sin{B} = 1.519$
There is no value of $B$ for which $\sin{B}$ is greater than 1.
$\therefore$ There is no solution possible for the triangle.