Finding the Third Proportional to 682,978 and 1,002,323

Step by Step Solution

1. Step 1: Write the proportion equation
   682,978 : 1,002,323 = 1,002,323 : x
2. Step 2: Convert to fraction form
   682,978/1,002,323 = 1,002,323/x
3. Step 3: Cross multiply
   682,978x = 1,002,323 × 1,002,323
4. Step 4: Simplify right side
   682,978x = 1,004,651,396,329
5. Step 5: Solve for x
   x = 1,004,651,396,329/682,978
6. Step 6: Final answer
   x = 1,470,986.47