Finding the Third Proportional to 118.30 and 179.59

Step by Step Solution

1. Step 1: Write the proportion equation
   118.30 : 179.59 = 179.59 : x
2. Step 2: Convert to fraction form
   118.30/179.59 = 179.59/x
3. Step 3: Cross multiply
   118.30x = 179.59 × 179.59
4. Step 4: Simplify right side
   118.30x = 32,251.46
5. Step 5: Solve for x
   x = 32,251.46/118.30
6. Step 6: Final answer
   x = 272.62