Finding the Third Proportional to 82,170 and 126,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,170 : 126,877.50 = 126,877.50 : x
2. Step 2: Convert to fraction form
   82,170/126,877.50 = 126,877.50/x
3. Step 3: Cross multiply
   82,170x = 126,877.50 × 126,877.50
4. Step 4: Simplify right side
   82,170x = 16,097,900,006.25
5. Step 5: Solve for x
   x = 16,097,900,006.25/82,170
6. Step 6: Final answer
   x = 195,909.70