Finding the Third Proportional to 229.78 and 487.83

Step by Step Solution

1. Step 1: Write the proportion equation
   229.78 : 487.83 = 487.83 : x
2. Step 2: Convert to fraction form
   229.78/487.83 = 487.83/x
3. Step 3: Cross multiply
   229.78x = 487.83 × 487.83
4. Step 4: Simplify right side
   229.78x = 237,976.28
5. Step 5: Solve for x
   x = 237,976.28/229.78
6. Step 6: Final answer
   x = 1,035.66