Find the following product:

To find the product, we will use distributive law as follows:

$250.5 x y\left(x z+\frac{y}{10}\right)$

$=250.5 x y \times x z+250.5 x y \times \frac{y}{10}$

$=250.5 x^{1+1} y z+25.05 x y^{1+1}$

$=250.5 x^{2} y z+25.05 x y^{2}$

Thus, the answer is $250.5 x^{2} y z+25.05 x y^{2}$.