Finding the Third Proportional to 327,803 and 494,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,803 : 494,719.50 = 494,719.50 : x
2. Step 2: Convert to fraction form
   327,803/494,719.50 = 494,719.50/x
3. Step 3: Cross multiply
   327,803x = 494,719.50 × 494,719.50
4. Step 4: Simplify right side
   327,803x = 244,747,383,680.25
5. Step 5: Solve for x
   x = 244,747,383,680.25/327,803
6. Step 6: Final answer
   x = 746,629.48