Finding the Third Proportional to 311,943 and 682,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,943 : 682,057.50 = 682,057.50 : x
2. Step 2: Convert to fraction form
   311,943/682,057.50 = 682,057.50/x
3. Step 3: Cross multiply
   311,943x = 682,057.50 × 682,057.50
4. Step 4: Simplify right side
   311,943x = 465,202,433,306.25
5. Step 5: Solve for x
   x = 465,202,433,306.25/311,943
6. Step 6: Final answer
   x = 1,491,305.89