Finding the Third Proportional to 229.59 and 499.69

Step by Step Solution

1. Step 1: Write the proportion equation
   229.59 : 499.69 = 499.69 : x
2. Step 2: Convert to fraction form
   229.59/499.69 = 499.69/x
3. Step 3: Cross multiply
   229.59x = 499.69 × 499.69
4. Step 4: Simplify right side
   229.59x = 249,687.60
5. Step 5: Solve for x
   x = 249,687.60/229.59
6. Step 6: Final answer
   x = 1,087.52