$$\sqrt ? \times \sqrt {484} = 1034$$

$$\eqalign{ & {\text{Let}}, \cr & \sqrt x \times \sqrt {484} = 1034 \cr & {\text{Then}}, \cr & \sqrt x \times 22 = 1034 \cr & \Leftrightarrow \sqrt x = \frac{{1034}}{{22}} = 47 \cr & \Leftrightarrow x = {\left( {47} \right)^2} \cr & \Leftrightarrow x = 2209 \cr} $$