Finding the Third Proportional to 333,162 and 728,458

Step by Step Solution

1. Step 1: Write the proportion equation
   333,162 : 728,458 = 728,458 : x
2. Step 2: Convert to fraction form
   333,162/728,458 = 728,458/x
3. Step 3: Cross multiply
   333,162x = 728,458 × 728,458
4. Step 4: Simplify right side
   333,162x = 530,651,057,764
5. Step 5: Solve for x
   x = 530,651,057,764/333,162
6. Step 6: Final answer
   x = 1,592,771.86