Finding the Third Proportional to 118.80 and 177.72

Step by Step Solution

1. Step 1: Write the proportion equation
   118.80 : 177.72 = 177.72 : x
2. Step 2: Convert to fraction form
   118.80/177.72 = 177.72/x
3. Step 3: Cross multiply
   118.80x = 177.72 × 177.72
4. Step 4: Simplify right side
   118.80x = 31,583.95
5. Step 5: Solve for x
   x = 31,583.95/118.80
6. Step 6: Final answer
   x = 265.87