Finding the Third Proportional to 401.20 and 538.52

Step by Step Solution

1. Step 1: Write the proportion equation
   401.20 : 538.52 = 538.52 : x
2. Step 2: Convert to fraction form
   401.20/538.52 = 538.52/x
3. Step 3: Cross multiply
   401.20x = 538.52 × 538.52
4. Step 4: Simplify right side
   401.20x = 290,007.49
5. Step 5: Solve for x
   x = 290,007.49/401.20
6. Step 6: Final answer
   x = 722.84