Finding the Third Proportional to 122.77 and 260.72

Step by Step Solution

1. Step 1: Write the proportion equation
   122.77 : 260.72 = 260.72 : x
2. Step 2: Convert to fraction form
   122.77/260.72 = 260.72/x
3. Step 3: Cross multiply
   122.77x = 260.72 × 260.72
4. Step 4: Simplify right side
   122.77x = 67,974.27
5. Step 5: Solve for x
   x = 67,974.27/122.77
6. Step 6: Final answer
   x = 553.69