Finding the Third Proportional to 82,167 and 126,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,167 : 126,731.50 = 126,731.50 : x
2. Step 2: Convert to fraction form
   82,167/126,731.50 = 126,731.50/x
3. Step 3: Cross multiply
   82,167x = 126,731.50 × 126,731.50
4. Step 4: Simplify right side
   82,167x = 16,060,873,092.25
5. Step 5: Solve for x
   x = 16,060,873,092.25/82,167
6. Step 6: Final answer
   x = 195,466.22