Finding the Third Proportional to 229.50 and 480.94

Step by Step Solution

1. Step 1: Write the proportion equation
   229.50 : 480.94 = 480.94 : x
2. Step 2: Convert to fraction form
   229.50/480.94 = 480.94/x
3. Step 3: Cross multiply
   229.50x = 480.94 × 480.94
4. Step 4: Simplify right side
   229.50x = 231,300.88
5. Step 5: Solve for x
   x = 231,300.88/229.50
6. Step 6: Final answer
   x = 1,007.85