To convert the height from meters to centimeters, we can use the conversion factor that 1 meter is equal to 100 centimeters.
Given the height of the farmhouse: \[ 2.307 \times 10^8 \text{ meters} \]
We can multiply this by 100 (or \(10^2\)) to convert to centimeters: \[ 2.307 \times 10^8 \text{ meters} \times 100 = 2.307 \times 10^8 \text{ meters} \times 10^2 \text{ centimeters/meter} \] \[ = 2.307 \times 10^{8 + 2} \text{ centimeters} \] \[ = 2.307 \times 10^{10} \text{ centimeters} \]
So, the height of the farmhouse in centimeters is: \[ \boxed{2.307 \times 10^{10}} \]