Finding the Third Proportional to 327,714 and 494,574.75

Step by Step Solution

1. Step 1: Write the proportion equation
   327,714 : 494,574.75 = 494,574.75 : x
2. Step 2: Convert to fraction form
   327,714/494,574.75 = 494,574.75/x
3. Step 3: Cross multiply
   327,714x = 494,574.75 × 494,574.75
4. Step 4: Simplify right side
   327,714x = 244,604,183,337.56
5. Step 5: Solve for x
   x = 244,604,183,337.56/327,714
6. Step 6: Final answer
   x = 746,395.28