Finding the Third Proportional to 124.88 and 178.73

Step by Step Solution

1. Step 1: Write the proportion equation
   124.88 : 178.73 = 178.73 : x
2. Step 2: Convert to fraction form
   124.88/178.73 = 178.73/x
3. Step 3: Cross multiply
   124.88x = 178.73 × 178.73
4. Step 4: Simplify right side
   124.88x = 31,945.98
5. Step 5: Solve for x
   x = 31,945.98/124.88
6. Step 6: Final answer
   x = 255.82