Finding the Third Proportional to 354,716 and 726,004

Step by Step Solution

1. Step 1: Write the proportion equation
   354,716 : 726,004 = 726,004 : x
2. Step 2: Convert to fraction form
   354,716/726,004 = 726,004/x
3. Step 3: Cross multiply
   354,716x = 726,004 × 726,004
4. Step 4: Simplify right side
   354,716x = 527,081,808,016
5. Step 5: Solve for x
   x = 527,081,808,016/354,716
6. Step 6: Final answer
   x = 1,485,926.23