To find the price of the home, we can use the formula:
\[ \text{Commission} = \text{Price} \times \text{Commission Rate} \]
We know the commission earned is $10,254.30 and the commission rate is 5.32%, which we can express as a decimal (5.32% = 0.0532).
We can rearrange the formula to solve for the price:
\[ \text{Price} = \frac{\text{Commission}}{\text{Commission Rate}} \]
Substituting the known values:
\[ \text{Price} = \frac{10,254.30}{0.0532} \]
Now, let's calculate:
\[ \text{Price} = 192,460.00 \]
Therefore, the price of the home is:
\[ p = 192,460.00 \]