Finding the Third Proportional to 120.80 and 268.59

Step by Step Solution

1. Step 1: Write the proportion equation
   120.80 : 268.59 = 268.59 : x
2. Step 2: Convert to fraction form
   120.80/268.59 = 268.59/x
3. Step 3: Cross multiply
   120.80x = 268.59 × 268.59
4. Step 4: Simplify right side
   120.80x = 72,142.60
5. Step 5: Solve for x
   x = 72,142.60/120.80
6. Step 6: Final answer
   x = 597.22