Finding the Third Proportional to 333,204 and 725,568

Step by Step Solution

1. Step 1: Write the proportion equation
   333,204 : 725,568 = 725,568 : x
2. Step 2: Convert to fraction form
   333,204/725,568 = 725,568/x
3. Step 3: Cross multiply
   333,204x = 725,568 × 725,568
4. Step 4: Simplify right side
   333,204x = 526,448,922,624
5. Step 5: Solve for x
   x = 526,448,922,624/333,204
6. Step 6: Final answer
   x = 1,579,959.79