Problem #$4$: Intersection point of two lines $(15$ points$)$

Given the following data, determine the coordinates of point $H,$ where the lines from points $F$ and $G$ intersect. Note all coordinates are in feet.

Coordinate F: $(100\mathrm{.}00,200\mathrm{.}00)$

Coordinate G: $(217\mathrm{.}14,320\mathrm{.}18)$

Bearing of Line $FH$:$S73{27}^{\text{'}}{53}^{\text{'}\text{'}}E$

Bearing of Line GH: $S25{30}^{\text{'}}{35}^{\text{'}\text{'}}E$