Finding the Third Proportional to 311,664 and 682,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   311,664 : 682,443.75 = 682,443.75 : x
2. Step 2: Convert to fraction form
   311,664/682,443.75 = 682,443.75/x
3. Step 3: Cross multiply
   311,664x = 682,443.75 × 682,443.75
4. Step 4: Simplify right side
   311,664x = 465,729,471,914.06
5. Step 5: Solve for x
   x = 465,729,471,914.06/311,664
6. Step 6: Final answer
   x = 1,494,331.95