Finding the Third Proportional to 59,434 and 126,500

Step by Step Solution

1. Step 1: Write the proportion equation
   59,434 : 126,500 = 126,500 : x
2. Step 2: Convert to fraction form
   59,434/126,500 = 126,500/x
3. Step 3: Cross multiply
   59,434x = 126,500 × 126,500
4. Step 4: Simplify right side
   59,434x = 16,002,250,000
5. Step 5: Solve for x
   x = 16,002,250,000/59,434
6. Step 6: Final answer
   x = 269,244.04