Finding the Third Proportional to 327,801 and 494,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,801 : 494,713.50 = 494,713.50 : x
2. Step 2: Convert to fraction form
   327,801/494,713.50 = 494,713.50/x
3. Step 3: Cross multiply
   327,801x = 494,713.50 × 494,713.50
4. Step 4: Simplify right side
   327,801x = 244,741,447,082.25
5. Step 5: Solve for x
   x = 244,741,447,082.25/327,801
6. Step 6: Final answer
   x = 746,615.93