Finding the Third Proportional to 57,415.50 and 126,738

Step by Step Solution

1. Step 1: Write the proportion equation
   57,415.50 : 126,738 = 126,738 : x
2. Step 2: Convert to fraction form
   57,415.50/126,738 = 126,738/x
3. Step 3: Cross multiply
   57,415.50x = 126,738 × 126,738
4. Step 4: Simplify right side
   57,415.50x = 16,062,520,644
5. Step 5: Solve for x
   x = 16,062,520,644/57,415.50
6. Step 6: Final answer
   x = 279,759.31