Finding the Third Proportional to 327,841 and 494,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,841 : 494,773.50 = 494,773.50 : x
2. Step 2: Convert to fraction form
   327,841/494,773.50 = 494,773.50/x
3. Step 3: Cross multiply
   327,841x = 494,773.50 × 494,773.50
4. Step 4: Simplify right side
   327,841x = 244,800,816,302.25
5. Step 5: Solve for x
   x = 244,800,816,302.25/327,841
6. Step 6: Final answer
   x = 746,705.92