Finding the Third Proportional to 315,870 and 682,314

Step by Step Solution

1. Step 1: Write the proportion equation
   315,870 : 682,314 = 682,314 : x
2. Step 2: Convert to fraction form
   315,870/682,314 = 682,314/x
3. Step 3: Cross multiply
   315,870x = 682,314 × 682,314
4. Step 4: Simplify right side
   315,870x = 465,552,394,596
5. Step 5: Solve for x
   x = 465,552,394,596/315,870
6. Step 6: Final answer
   x = 1,473,873.41