Finding the Third Proportional to 311,096 and 682,450

Step by Step Solution

1. Step 1: Write the proportion equation
   311,096 : 682,450 = 682,450 : x
2. Step 2: Convert to fraction form
   311,096/682,450 = 682,450/x
3. Step 3: Cross multiply
   311,096x = 682,450 × 682,450
4. Step 4: Simplify right side
   311,096x = 465,738,002,500
5. Step 5: Solve for x
   x = 465,738,002,500/311,096
6. Step 6: Final answer
   x = 1,497,087.72