Finding the Third Proportional to 59,124 and 126,996

Step by Step Solution

1. Step 1: Write the proportion equation
   59,124 : 126,996 = 126,996 : x
2. Step 2: Convert to fraction form
   59,124/126,996 = 126,996/x
3. Step 3: Cross multiply
   59,124x = 126,996 × 126,996
4. Step 4: Simplify right side
   59,124x = 16,127,984,016
5. Step 5: Solve for x
   x = 16,127,984,016/59,124
6. Step 6: Final answer
   x = 272,782.36