Finding the Third Proportional to 311,661 and 682,437.75

Step by Step Solution

1. Step 1: Write the proportion equation
   311,661 : 682,437.75 = 682,437.75 : x
2. Step 2: Convert to fraction form
   311,661/682,437.75 = 682,437.75/x
3. Step 3: Cross multiply
   311,661x = 682,437.75 × 682,437.75
4. Step 4: Simplify right side
   311,661x = 465,721,282,625.06
5. Step 5: Solve for x
   x = 465,721,282,625.06/311,661
6. Step 6: Final answer
   x = 1,494,320.05