Finding the Third Proportional to 333,540 and 741,684

Step by Step Solution

1. Step 1: Write the proportion equation
   333,540 : 741,684 = 741,684 : x
2. Step 2: Convert to fraction form
   333,540/741,684 = 741,684/x
3. Step 3: Cross multiply
   333,540x = 741,684 × 741,684
4. Step 4: Simplify right side
   333,540x = 550,095,155,856
5. Step 5: Solve for x
   x = 550,095,155,856/333,540
6. Step 6: Final answer
   x = 1,649,262.92