Finding the Third Proportional to 78,761 and 126,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,761 : 126,342.50 = 126,342.50 : x
2. Step 2: Convert to fraction form
   78,761/126,342.50 = 126,342.50/x
3. Step 3: Cross multiply
   78,761x = 126,342.50 × 126,342.50
4. Step 4: Simplify right side
   78,761x = 15,962,427,306.25
5. Step 5: Solve for x
   x = 15,962,427,306.25/78,761
6. Step 6: Final answer
   x = 202,669.18