Finding the Third Proportional to 78,816 and 108,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,816 : 108,382.50 = 108,382.50 : x
2. Step 2: Convert to fraction form
   78,816/108,382.50 = 108,382.50/x
3. Step 3: Cross multiply
   78,816x = 108,382.50 × 108,382.50
4. Step 4: Simplify right side
   78,816x = 11,746,766,306.25
5. Step 5: Solve for x
   x = 11,746,766,306.25/78,816
6. Step 6: Final answer
   x = 149,040.38