Finding the Third Proportional to 126,952 and 186,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,952 : 186,499.50 = 186,499.50 : x
2. Step 2: Convert to fraction form
   126,952/186,499.50 = 186,499.50/x
3. Step 3: Cross multiply
   126,952x = 186,499.50 × 186,499.50
4. Step 4: Simplify right side
   126,952x = 34,782,063,500.25
5. Step 5: Solve for x
   x = 34,782,063,500.25/126,952
6. Step 6: Final answer
   x = 273,978.07