Finding the Third Proportional to 298 and 495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298 : 495.50 = 495.50 : x
2. Step 2: Convert to fraction form
   298/495.50 = 495.50/x
3. Step 3: Cross multiply
   298x = 495.50 × 495.50
4. Step 4: Simplify right side
   298x = 245,520.25
5. Step 5: Solve for x
   x = 245,520.25/298
6. Step 6: Final answer
   x = 823.89