Finding the Third Proportional to 81,627 and 126,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,627 : 126,134.50 = 126,134.50 : x
2. Step 2: Convert to fraction form
   81,627/126,134.50 = 126,134.50/x
3. Step 3: Cross multiply
   81,627x = 126,134.50 × 126,134.50
4. Step 4: Simplify right side
   81,627x = 15,909,912,090.25
5. Step 5: Solve for x
   x = 15,909,912,090.25/81,627
6. Step 6: Final answer
   x = 194,909.92