Finding the Third Proportional to 59,102 and 126,505

Step by Step Solution

1. Step 1: Write the proportion equation
   59,102 : 126,505 = 126,505 : x
2. Step 2: Convert to fraction form
   59,102/126,505 = 126,505/x
3. Step 3: Cross multiply
   59,102x = 126,505 × 126,505
4. Step 4: Simplify right side
   59,102x = 16,003,515,025
5. Step 5: Solve for x
   x = 16,003,515,025/59,102
6. Step 6: Final answer
   x = 270,777.89