Finding the Third Proportional to 131,658 and 188,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,658 : 188,140.50 = 188,140.50 : x
2. Step 2: Convert to fraction form
   131,658/188,140.50 = 188,140.50/x
3. Step 3: Cross multiply
   131,658x = 188,140.50 × 188,140.50
4. Step 4: Simplify right side
   131,658x = 35,396,847,740.25
5. Step 5: Solve for x
   x = 35,396,847,740.25/131,658
6. Step 6: Final answer
   x = 268,854.52