Finding the Third Proportional to 229.69 and 493.69

Step by Step Solution

1. Step 1: Write the proportion equation
   229.69 : 493.69 = 493.69 : x
2. Step 2: Convert to fraction form
   229.69/493.69 = 493.69/x
3. Step 3: Cross multiply
   229.69x = 493.69 × 493.69
4. Step 4: Simplify right side
   229.69x = 243,727.35
5. Step 5: Solve for x
   x = 243,727.35/229.69
6. Step 6: Final answer
   x = 1,061.13