Finding the Third Proportional to 323.50 and 360.25

Step by Step Solution

1. Step 1: Write the proportion equation
   323.50 : 360.25 = 360.25 : x
2. Step 2: Convert to fraction form
   323.50/360.25 = 360.25/x
3. Step 3: Cross multiply
   323.50x = 360.25 × 360.25
4. Step 4: Simplify right side
   323.50x = 129,780.06
5. Step 5: Solve for x
   x = 129,780.06/323.50
6. Step 6: Final answer
   x = 401.17