Finding the Third Proportional to 178.88 and 241.31

Step by Step Solution

1. Step 1: Write the proportion equation
   178.88 : 241.31 = 241.31 : x
2. Step 2: Convert to fraction form
   178.88/241.31 = 241.31/x
3. Step 3: Cross multiply
   178.88x = 241.31 × 241.31
4. Step 4: Simplify right side
   178.88x = 58,231.72
5. Step 5: Solve for x
   x = 58,231.72/178.88
6. Step 6: Final answer
   x = 325.54