To solve the expression \( 90.100 \times \sqrt{100000} \), we start with the square root:
\[ \sqrt{100000} = \sqrt{10^5} = 10^{5/2} = 10^2 \times \sqrt{10} = 100 \times \sqrt{10} \]
Next, we can write the original expression as:
\[ 90.100 \times \sqrt{100000} = 90.100 \times (100 \times \sqrt{10}) = 90.100 \times 100 \times \sqrt{10} \]
Calculating \( 90.100 \times 100 \):
\[ 90.100 \times 100 = 9010 \]
So now we have:
\[ 9010 \times \sqrt{10} \]
Using \( \sqrt{10} \approx 3.162 \) (approximately), we can calculate:
\[ 9010 \times 3.162 \approx 28493.62 \]
Thus, the final result is approximately:
\[ 28493.62 \]