Answer
$8.70 \times 10^5$
Work Step by Step
Recall the exponent rules:
$x^ax^b=x^{a+b}$
$\dfrac{x^a}{x^b}=x^{a-b}$
We simplify as follows:
$$
\frac{(62.3\times10^{3})(4.18\times10^{-5})}{(17.3\times10^{-4})^2}=\frac{(62.3 )(4.18)\times10^{-2}}{299.29\times10^{-8}}=0.87 \times 10^6\\
=8.70 \times 10^5
.$$