Finding the Third Proportional to 327,843 and 494,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,843 : 494,776.50 = 494,776.50 : x
2. Step 2: Convert to fraction form
   327,843/494,776.50 = 494,776.50/x
3. Step 3: Cross multiply
   327,843x = 494,776.50 × 494,776.50
4. Step 4: Simplify right side
   327,843x = 244,803,784,952.25
5. Step 5: Solve for x
   x = 244,803,784,952.25/327,843
6. Step 6: Final answer
   x = 746,710.42