Finding the Third Proportional to 120.23 and 262.83

Step by Step Solution

1. Step 1: Write the proportion equation
   120.23 : 262.83 = 262.83 : x
2. Step 2: Convert to fraction form
   120.23/262.83 = 262.83/x
3. Step 3: Cross multiply
   120.23x = 262.83 × 262.83
4. Step 4: Simplify right side
   120.23x = 69,078.62
5. Step 5: Solve for x
   x = 69,078.62/120.23
6. Step 6: Final answer
   x = 574.53