Finding the Third Proportional to 314,458 and 682,068

Step by Step Solution

1. Step 1: Write the proportion equation
   314,458 : 682,068 = 682,068 : x
2. Step 2: Convert to fraction form
   314,458/682,068 = 682,068/x
3. Step 3: Cross multiply
   314,458x = 682,068 × 682,068
4. Step 4: Simplify right side
   314,458x = 465,216,756,624
5. Step 5: Solve for x
   x = 465,216,756,624/314,458
6. Step 6: Final answer
   x = 1,479,424.14