Finding the Third Proportional to 81,918 and 123,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,918 : 123,457.50 = 123,457.50 : x
2. Step 2: Convert to fraction form
   81,918/123,457.50 = 123,457.50/x
3. Step 3: Cross multiply
   81,918x = 123,457.50 × 123,457.50
4. Step 4: Simplify right side
   81,918x = 15,241,754,306.25
5. Step 5: Solve for x
   x = 15,241,754,306.25/81,918
6. Step 6: Final answer
   x = 186,061.11