Finding the Third Proportional to 122.81 and 266.72

Step by Step Solution

1. Step 1: Write the proportion equation
   122.81 : 266.72 = 266.72 : x
2. Step 2: Convert to fraction form
   122.81/266.72 = 266.72/x
3. Step 3: Cross multiply
   122.81x = 266.72 × 266.72
4. Step 4: Simplify right side
   122.81x = 71,138.89
5. Step 5: Solve for x
   x = 71,138.89/122.81
6. Step 6: Final answer
   x = 579.25