Finding the Third Proportional to 81,612 and 155,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,612 : 155,839.50 = 155,839.50 : x
2. Step 2: Convert to fraction form
   81,612/155,839.50 = 155,839.50/x
3. Step 3: Cross multiply
   81,612x = 155,839.50 × 155,839.50
4. Step 4: Simplify right side
   81,612x = 24,285,949,760.25
5. Step 5: Solve for x
   x = 24,285,949,760.25/81,612
6. Step 6: Final answer
   x = 297,578.17