Lucas dines at a fancy restaurant and the bill for the food is $189.99. If the sales tax rate is 8.75%, and he wants to leave a 15% tip based on the pre-tax amount, what will the total bill be, including tax and tip?

To calculate the total bill for Lucas, we need to follow these steps: calculate the sales tax, calculate the tip, and then sum everything up.

1. **Calculate the sales tax**:
\[
\text{Sales tax} = \text{Bill} \times \text{Sales tax rate}
\]
\[
\text{Sales tax} = 189.99 \times 0.0875 = 16.612375
\]
Rounding to two decimal places, the sales tax is:
\[
\text{Sales tax} \approx 16.61
\]

2. **Calculate the tip**:
Since the tip is based on the pre-tax amount, we use the bill amount before tax:
\[
\text{Tip} = \text{Bill} \times \text{Tip rate}
\]
\[
\text{Tip} = 189.99 \times 0.15 = 28.4985
\]
Rounding to two decimal places, the tip is:
\[
\text{Tip} \approx 28.50
\]

3. **Calculate the total bill**:
Now we add the original bill, the sales tax, and the tip:
\[
\text{Total bill} = \text{Bill} + \text{Sales tax} + \text{Tip}
\]
\[
\text{Total bill} = 189.99 + 16.61 + 28.50
\]
\[
\text{Total bill} = 189.99 + 16.61 = 206.60
\]
\[
\text{Total bill} = 206.60 + 28.50 = 235.10
\]

Therefore, the total bill, including tax and tip, is:
\[
\boxed{235.10}
\]