Finding the Third Proportional to 80,784.50 and 123,363.75

Step by Step Solution

1. Step 1: Write the proportion equation
   80,784.50 : 123,363.75 = 123,363.75 : x
2. Step 2: Convert to fraction form
   80,784.50/123,363.75 = 123,363.75/x
3. Step 3: Cross multiply
   80,784.50x = 123,363.75 × 123,363.75
4. Step 4: Simplify right side
   80,784.50x = 15,218,614,814.06
5. Step 5: Solve for x
   x = 15,218,614,814.06/80,784.50
6. Step 6: Final answer
   x = 188,385.33