Finding the Third Proportional to 311,859 and 682,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,859 : 682,015.50 = 682,015.50 : x
2. Step 2: Convert to fraction form
   311,859/682,015.50 = 682,015.50/x
3. Step 3: Cross multiply
   311,859x = 682,015.50 × 682,015.50
4. Step 4: Simplify right side
   311,859x = 465,145,142,240.25
5. Step 5: Solve for x
   x = 465,145,142,240.25/311,859
6. Step 6: Final answer
   x = 1,491,523.87