Finding the Third Proportional to 81,540 and 126,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,540 : 126,022.50 = 126,022.50 : x
2. Step 2: Convert to fraction form
   81,540/126,022.50 = 126,022.50/x
3. Step 3: Cross multiply
   81,540x = 126,022.50 × 126,022.50
4. Step 4: Simplify right side
   81,540x = 15,881,670,506.25
5. Step 5: Solve for x
   x = 15,881,670,506.25/81,540
6. Step 6: Final answer
   x = 194,771.53