Finding the Third Proportional to 81,744 and 126,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,744 : 126,625.50 = 126,625.50 : x
2. Step 2: Convert to fraction form
   81,744/126,625.50 = 126,625.50/x
3. Step 3: Cross multiply
   81,744x = 126,625.50 × 126,625.50
4. Step 4: Simplify right side
   81,744x = 16,034,017,250.25
5. Step 5: Solve for x
   x = 16,034,017,250.25/81,744
6. Step 6: Final answer
   x = 196,149.16