Finding the Third Proportional to 401.25 and 442.88

Step by Step Solution

1. Step 1: Write the proportion equation
   401.25 : 442.88 = 442.88 : x
2. Step 2: Convert to fraction form
   401.25/442.88 = 442.88/x
3. Step 3: Cross multiply
   401.25x = 442.88 × 442.88
4. Step 4: Simplify right side
   401.25x = 196,138.27
5. Step 5: Solve for x
   x = 196,138.27/401.25
6. Step 6: Final answer
   x = 488.82