Answer
$$x=$187.50$$
Work Step by Step
Create a proportion using ratios as follows:
$$
\frac{180\ ft}{67.5 }=\frac{500\ ft}{x }
.$$
Set the product of the means equal to the product of the extremes and solve for $x$
$$
180 x=500\cdot 67.5\Longrightarrow x=\frac{500\cdot 67.5}{180}=$187.50
.$$
