Finding the Third Proportional to 178.45 and 273.38

Step by Step Solution

1. Step 1: Write the proportion equation
   178.45 : 273.38 = 273.38 : x
2. Step 2: Convert to fraction form
   178.45/273.38 = 273.38/x
3. Step 3: Cross multiply
   178.45x = 273.38 × 273.38
4. Step 4: Simplify right side
   178.45x = 74,733.89
5. Step 5: Solve for x
   x = 74,733.89/178.45
6. Step 6: Final answer
   x = 418.79