Finding the Third Proportional to 496.50 and 1,089

Step by Step Solution

1. Step 1: Write the proportion equation
   496.50 : 1,089 = 1,089 : x
2. Step 2: Convert to fraction form
   496.50/1,089 = 1,089/x
3. Step 3: Cross multiply
   496.50x = 1,089 × 1,089
4. Step 4: Simplify right side
   496.50x = 1,185,921
5. Step 5: Solve for x
   x = 1,185,921/496.50
6. Step 6: Final answer
   x = 2,388.56