Finding the Third Proportional to 337,900 and 472,404

Step by Step Solution

1. Step 1: Write the proportion equation
   337,900 : 472,404 = 472,404 : x
2. Step 2: Convert to fraction form
   337,900/472,404 = 472,404/x
3. Step 3: Cross multiply
   337,900x = 472,404 × 472,404
4. Step 4: Simplify right side
   337,900x = 223,165,539,216
5. Step 5: Solve for x
   x = 223,165,539,216/337,900
6. Step 6: Final answer
   x = 660,448.47