Finding the Third Proportional to 405.75 and 488.25

Step by Step Solution

1. Step 1: Write the proportion equation
   405.75 : 488.25 = 488.25 : x
2. Step 2: Convert to fraction form
   405.75/488.25 = 488.25/x
3. Step 3: Cross multiply
   405.75x = 488.25 × 488.25
4. Step 4: Simplify right side
   405.75x = 238,388.06
5. Step 5: Solve for x
   x = 238,388.06/405.75
6. Step 6: Final answer
   x = 587.52