Finding the Third Proportional to 81,102 and 129,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,102 : 129,147.50 = 129,147.50 : x
2. Step 2: Convert to fraction form
   81,102/129,147.50 = 129,147.50/x
3. Step 3: Cross multiply
   81,102x = 129,147.50 × 129,147.50
4. Step 4: Simplify right side
   81,102x = 16,679,076,756.25
5. Step 5: Solve for x
   x = 16,679,076,756.25/81,102
6. Step 6: Final answer
   x = 205,655.55