Finding the Third Proportional to 59,099 and 126,499

Step by Step Solution

1. Step 1: Write the proportion equation
   59,099 : 126,499 = 126,499 : x
2. Step 2: Convert to fraction form
   59,099/126,499 = 126,499/x
3. Step 3: Cross multiply
   59,099x = 126,499 × 126,499
4. Step 4: Simplify right side
   59,099x = 16,001,997,001
5. Step 5: Solve for x
   x = 16,001,997,001/59,099
6. Step 6: Final answer
   x = 270,765.95