Finding the Third Proportional to 81,457.50 and 126,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,457.50 : 126,127.50 = 126,127.50 : x
2. Step 2: Convert to fraction form
   81,457.50/126,127.50 = 126,127.50/x
3. Step 3: Cross multiply
   81,457.50x = 126,127.50 × 126,127.50
4. Step 4: Simplify right side
   81,457.50x = 15,908,146,256.25
5. Step 5: Solve for x
   x = 15,908,146,256.25/81,457.50
6. Step 6: Final answer
   x = 195,293.82