Finding the Third Proportional to 311,674.50 and 682,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,674.50 : 682,468.50 = 682,468.50 : x
2. Step 2: Convert to fraction form
   311,674.50/682,468.50 = 682,468.50/x
3. Step 3: Cross multiply
   311,674.50x = 682,468.50 × 682,468.50
4. Step 4: Simplify right side
   311,674.50x = 465,763,253,492.25
5. Step 5: Solve for x
   x = 465,763,253,492.25/311,674.50
6. Step 6: Final answer
   x = 1,494,389.99