Finding the Third Proportional to 88,687 and 137,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,687 : 137,695.50 = 137,695.50 : x
2. Step 2: Convert to fraction form
   88,687/137,695.50 = 137,695.50/x
3. Step 3: Cross multiply
   88,687x = 137,695.50 × 137,695.50
4. Step 4: Simplify right side
   88,687x = 18,960,050,720.25
5. Step 5: Solve for x
   x = 18,960,050,720.25/88,687
6. Step 6: Final answer
   x = 213,786.13