Finding the Third Proportional to 209.25 and 298.88

Step by Step Solution

1. Step 1: Write the proportion equation
   209.25 : 298.88 = 298.88 : x
2. Step 2: Convert to fraction form
   209.25/298.88 = 298.88/x
3. Step 3: Cross multiply
   209.25x = 298.88 × 298.88
4. Step 4: Simplify right side
   209.25x = 89,326.27
5. Step 5: Solve for x
   x = 89,326.27/209.25
6. Step 6: Final answer
   x = 426.89