Finding the Third Proportional to 333,155 and 728,446

Step by Step Solution

1. Step 1: Write the proportion equation
   333,155 : 728,446 = 728,446 : x
2. Step 2: Convert to fraction form
   333,155/728,446 = 728,446/x
3. Step 3: Cross multiply
   333,155x = 728,446 × 728,446
4. Step 4: Simplify right side
   333,155x = 530,633,574,916
5. Step 5: Solve for x
   x = 530,633,574,916/333,155
6. Step 6: Final answer
   x = 1,592,752.85