Finding the Third Proportional to 315,040 and 682,568

Step by Step Solution

1. Step 1: Write the proportion equation
   315,040 : 682,568 = 682,568 : x
2. Step 2: Convert to fraction form
   315,040/682,568 = 682,568/x
3. Step 3: Cross multiply
   315,040x = 682,568 × 682,568
4. Step 4: Simplify right side
   315,040x = 465,899,074,624
5. Step 5: Solve for x
   x = 465,899,074,624/315,040
6. Step 6: Final answer
   x = 1,478,856.89