Finding the Third Proportional to 120.66 and 264.52

Step by Step Solution

1. Step 1: Write the proportion equation
   120.66 : 264.52 = 264.52 : x
2. Step 2: Convert to fraction form
   120.66/264.52 = 264.52/x
3. Step 3: Cross multiply
   120.66x = 264.52 × 264.52
4. Step 4: Simplify right side
   120.66x = 69,968.52
5. Step 5: Solve for x
   x = 69,968.52/120.66
6. Step 6: Final answer
   x = 579.90