Finding the Third Proportional to 146.81 and 209.25

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 209.25 = 209.25 : x
2. Step 2: Convert to fraction form
   146.81/209.25 = 209.25/x
3. Step 3: Cross multiply
   146.81x = 209.25 × 209.25
4. Step 4: Simplify right side
   146.81x = 43,785.56
5. Step 5: Solve for x
   x = 43,785.56/146.81
6. Step 6: Final answer
   x = 298.24