Finding the Third Proportional to 87,624 and 137,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,624 : 137,275.50 = 137,275.50 : x
2. Step 2: Convert to fraction form
   87,624/137,275.50 = 137,275.50/x
3. Step 3: Cross multiply
   87,624x = 137,275.50 × 137,275.50
4. Step 4: Simplify right side
   87,624x = 18,844,562,900.25
5. Step 5: Solve for x
   x = 18,844,562,900.25/87,624
6. Step 6: Final answer
   x = 215,061.66