To find the sum of \(4.2 \times 10^5\) and \(5.3 \times 10^5\), we first add the coefficients while keeping the common exponent:
\[ 4.2 + 5.3 = 9.5 \]
Thus, we can rewrite the sum as:
\[ 9.5 \times 10^5 \]
Therefore, the answer is:
\[ \boxed{9.5 \times 10^5} \]