Finding the Third Proportional to 111.77 and 179.40

Step by Step Solution

1. Step 1: Write the proportion equation
   111.77 : 179.40 = 179.40 : x
2. Step 2: Convert to fraction form
   111.77/179.40 = 179.40/x
3. Step 3: Cross multiply
   111.77x = 179.40 × 179.40
4. Step 4: Simplify right side
   111.77x = 32,185.20
5. Step 5: Solve for x
   x = 32,185.20/111.77
6. Step 6: Final answer
   x = 287.96