Finding the Third Proportional to 81,571 and 114,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,571 : 114,871.50 = 114,871.50 : x
2. Step 2: Convert to fraction form
   81,571/114,871.50 = 114,871.50/x
3. Step 3: Cross multiply
   81,571x = 114,871.50 × 114,871.50
4. Step 4: Simplify right side
   81,571x = 13,195,461,512.25
5. Step 5: Solve for x
   x = 13,195,461,512.25/81,571
6. Step 6: Final answer
   x = 161,766.58