Finding the Third Proportional to 298.27 and 352.69

Step by Step Solution

1. Step 1: Write the proportion equation
   298.27 : 352.69 = 352.69 : x
2. Step 2: Convert to fraction form
   298.27/352.69 = 352.69/x
3. Step 3: Cross multiply
   298.27x = 352.69 × 352.69
4. Step 4: Simplify right side
   298.27x = 124,388.47
5. Step 5: Solve for x
   x = 124,388.47/298.27
6. Step 6: Final answer
   x = 417.04