Finding the Third Proportional to 406,432 and 548,256

Step by Step Solution

1. Step 1: Write the proportion equation
   406,432 : 548,256 = 548,256 : x
2. Step 2: Convert to fraction form
   406,432/548,256 = 548,256/x
3. Step 3: Cross multiply
   406,432x = 548,256 × 548,256
4. Step 4: Simplify right side
   406,432x = 300,584,641,536
5. Step 5: Solve for x
   x = 300,584,641,536/406,432
6. Step 6: Final answer
   x = 739,569.33