Finding the Third Proportional to 359,616 and 518,004

Step by Step Solution

1. Step 1: Write the proportion equation
   359,616 : 518,004 = 518,004 : x
2. Step 2: Convert to fraction form
   359,616/518,004 = 518,004/x
3. Step 3: Cross multiply
   359,616x = 518,004 × 518,004
4. Step 4: Simplify right side
   359,616x = 268,328,144,016
5. Step 5: Solve for x
   x = 268,328,144,016/359,616
6. Step 6: Final answer
   x = 746,151.85