Finding the Third Proportional to 59,101 and 126,503

Step by Step Solution

1. Step 1: Write the proportion equation
   59,101 : 126,503 = 126,503 : x
2. Step 2: Convert to fraction form
   59,101/126,503 = 126,503/x
3. Step 3: Cross multiply
   59,101x = 126,503 × 126,503
4. Step 4: Simplify right side
   59,101x = 16,003,009,009
5. Step 5: Solve for x
   x = 16,003,009,009/59,101
6. Step 6: Final answer
   x = 270,773.91