Finding the Third Proportional to 126,269.38 and 280,564

Step by Step Solution

1. Step 1: Write the proportion equation
   126,269.38 : 280,564 = 280,564 : x
2. Step 2: Convert to fraction form
   126,269.38/280,564 = 280,564/x
3. Step 3: Cross multiply
   126,269.38x = 280,564 × 280,564
4. Step 4: Simplify right side
   126,269.38x = 78,716,158,096
5. Step 5: Solve for x
   x = 78,716,158,096/126,269.38
6. Step 6: Final answer
   x = 623,398.65