To solve the equation \( \frac{10^6}{10^x} = 10^2 \), we can use the properties of exponents.
First, we can rewrite the left side using the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \):
\[ \frac{10^6}{10^x} = 10^{6-x} \]
So the equation becomes:
\[ 10^{6-x} = 10^2 \]
Since the bases are the same, we can set the exponents equal to each other:
\[ 6 - x = 2 \]
Now, solve for \( x \):
\[ 6 - 2 = x \] \[ x = 4 \]
Thus, the value of \( x \) that makes the statement true is:
\[ \boxed{4} \]