Finding the Third Proportional to 126,474 and 268,500

Step by Step Solution

1. Step 1: Write the proportion equation
   126,474 : 268,500 = 268,500 : x
2. Step 2: Convert to fraction form
   126,474/268,500 = 268,500/x
3. Step 3: Cross multiply
   126,474x = 268,500 × 268,500
4. Step 4: Simplify right side
   126,474x = 72,092,250,000
5. Step 5: Solve for x
   x = 72,092,250,000/126,474
6. Step 6: Final answer
   x = 570,016.37