Finding the Third Proportional to 131,664 and 188,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,664 : 188,149.50 = 188,149.50 : x
2. Step 2: Convert to fraction form
   131,664/188,149.50 = 188,149.50/x
3. Step 3: Cross multiply
   131,664x = 188,149.50 × 188,149.50
4. Step 4: Simplify right side
   131,664x = 35,400,234,350.25
5. Step 5: Solve for x
   x = 35,400,234,350.25/131,664
6. Step 6: Final answer
   x = 268,867.98