Finding the Third Proportional to 339,816 and 475,404

Step by Step Solution

1. Step 1: Write the proportion equation
   339,816 : 475,404 = 475,404 : x
2. Step 2: Convert to fraction form
   339,816/475,404 = 475,404/x
3. Step 3: Cross multiply
   339,816x = 475,404 × 475,404
4. Step 4: Simplify right side
   339,816x = 226,008,963,216
5. Step 5: Solve for x
   x = 226,008,963,216/339,816
6. Step 6: Final answer
   x = 665,092.18