Finding the Third Proportional to 333,156 and 728,448

Step by Step Solution

1. Step 1: Write the proportion equation
   333,156 : 728,448 = 728,448 : x
2. Step 2: Convert to fraction form
   333,156/728,448 = 728,448/x
3. Step 3: Cross multiply
   333,156x = 728,448 × 728,448
4. Step 4: Simplify right side
   333,156x = 530,636,488,704
5. Step 5: Solve for x
   x = 530,636,488,704/333,156
6. Step 6: Final answer
   x = 1,592,756.81