Finding the Third Proportional to 327,807 and 494,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,807 : 494,725.50 = 494,725.50 : x
2. Step 2: Convert to fraction form
   327,807/494,725.50 = 494,725.50/x
3. Step 3: Cross multiply
   327,807x = 494,725.50 × 494,725.50
4. Step 4: Simplify right side
   327,807x = 244,753,320,350.25
5. Step 5: Solve for x
   x = 244,753,320,350.25/327,807
6. Step 6: Final answer
   x = 746,638.48