Finding the Third Proportional to 447,568 and 683,040

Step by Step Solution

1. Step 1: Write the proportion equation
   447,568 : 683,040 = 683,040 : x
2. Step 2: Convert to fraction form
   447,568/683,040 = 683,040/x
3. Step 3: Cross multiply
   447,568x = 683,040 × 683,040
4. Step 4: Simplify right side
   447,568x = 466,543,641,600
5. Step 5: Solve for x
   x = 466,543,641,600/447,568
6. Step 6: Final answer
   x = 1,042,397.23