Finding the Third Proportional to 311,096.25 and 494,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,096.25 : 494,662.50 = 494,662.50 : x
2. Step 2: Convert to fraction form
   311,096.25/494,662.50 = 494,662.50/x
3. Step 3: Cross multiply
   311,096.25x = 494,662.50 × 494,662.50
4. Step 4: Simplify right side
   311,096.25x = 244,690,988,906.25
5. Step 5: Solve for x
   x = 244,690,988,906.25/311,096.25
6. Step 6: Final answer
   x = 786,544.32