Finding the Third Proportional to 229.50 and 484.59

Step by Step Solution

1. Step 1: Write the proportion equation
   229.50 : 484.59 = 484.59 : x
2. Step 2: Convert to fraction form
   229.50/484.59 = 484.59/x
3. Step 3: Cross multiply
   229.50x = 484.59 × 484.59
4. Step 4: Simplify right side
   229.50x = 234,831.10
5. Step 5: Solve for x
   x = 234,831.10/229.50
6. Step 6: Final answer
   x = 1,023.23