Finding the Third Proportional to 122.72 and 268.22

Step by Step Solution

1. Step 1: Write the proportion equation
   122.72 : 268.22 = 268.22 : x
2. Step 2: Convert to fraction form
   122.72/268.22 = 268.22/x
3. Step 3: Cross multiply
   122.72x = 268.22 × 268.22
4. Step 4: Simplify right side
   122.72x = 71,941.30
5. Step 5: Solve for x
   x = 71,941.30/122.72
6. Step 6: Final answer
   x = 586.23