Finding the Third Proportional to 337,899 and 472,401

Step by Step Solution

1. Step 1: Write the proportion equation
   337,899 : 472,401 = 472,401 : x
2. Step 2: Convert to fraction form
   337,899/472,401 = 472,401/x
3. Step 3: Cross multiply
   337,899x = 472,401 × 472,401
4. Step 4: Simplify right side
   337,899x = 223,162,704,801
5. Step 5: Solve for x
   x = 223,162,704,801/337,899
6. Step 6: Final answer
   x = 660,442.04