Finding the Third Proportional to 333,648 and 726,048

Step by Step Solution

1. Step 1: Write the proportion equation
   333,648 : 726,048 = 726,048 : x
2. Step 2: Convert to fraction form
   333,648/726,048 = 726,048/x
3. Step 3: Cross multiply
   333,648x = 726,048 × 726,048
4. Step 4: Simplify right side
   333,648x = 527,145,698,304
5. Step 5: Solve for x
   x = 527,145,698,304/333,648
6. Step 6: Final answer
   x = 1,579,945.63