Finding the Third Proportional to 81,624 and 119,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,624 : 119,641.50 = 119,641.50 : x
2. Step 2: Convert to fraction form
   81,624/119,641.50 = 119,641.50/x
3. Step 3: Cross multiply
   81,624x = 119,641.50 × 119,641.50
4. Step 4: Simplify right side
   81,624x = 14,314,088,522.25
5. Step 5: Solve for x
   x = 14,314,088,522.25/81,624
6. Step 6: Final answer
   x = 175,366.17