Finding the Third Proportional to 275.27 and 401.20

Step by Step Solution

1. Step 1: Write the proportion equation
   275.27 : 401.20 = 401.20 : x
2. Step 2: Convert to fraction form
   275.27/401.20 = 401.20/x
3. Step 3: Cross multiply
   275.27x = 401.20 × 401.20
4. Step 4: Simplify right side
   275.27x = 160,963.95
5. Step 5: Solve for x
   x = 160,963.95/275.27
6. Step 6: Final answer
   x = 584.74