Finding the Third Proportional to 311,074.50 and 682,413

Step by Step Solution

1. Step 1: Write the proportion equation
   311,074.50 : 682,413 = 682,413 : x
2. Step 2: Convert to fraction form
   311,074.50/682,413 = 682,413/x
3. Step 3: Cross multiply
   311,074.50x = 682,413 × 682,413
4. Step 4: Simplify right side
   311,074.50x = 465,687,502,569
5. Step 5: Solve for x
   x = 465,687,502,569/311,074.50
6. Step 6: Final answer
   x = 1,497,028.86