Finding the Third Proportional to 122.77 and 179.72

Step by Step Solution

1. Step 1: Write the proportion equation
   122.77 : 179.72 = 179.72 : x
2. Step 2: Convert to fraction form
   122.77/179.72 = 179.72/x
3. Step 3: Cross multiply
   122.77x = 179.72 × 179.72
4. Step 4: Simplify right side
   122.77x = 32,298.83
5. Step 5: Solve for x
   x = 32,298.83/122.77
6. Step 6: Final answer
   x = 263.09