Finding the Third Proportional to 81,549 and 126,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,549 : 126,034.50 = 126,034.50 : x
2. Step 2: Convert to fraction form
   81,549/126,034.50 = 126,034.50/x
3. Step 3: Cross multiply
   81,549x = 126,034.50 × 126,034.50
4. Step 4: Simplify right side
   81,549x = 15,884,695,190.25
5. Step 5: Solve for x
   x = 15,884,695,190.25/81,549
6. Step 6: Final answer
   x = 194,787.12