Finding the Third Proportional to 116.44 and 178.45

Step by Step Solution

1. Step 1: Write the proportion equation
   116.44 : 178.45 = 178.45 : x
2. Step 2: Convert to fraction form
   116.44/178.45 = 178.45/x
3. Step 3: Cross multiply
   116.44x = 178.45 × 178.45
4. Step 4: Simplify right side
   116.44x = 31,845.52
5. Step 5: Solve for x
   x = 31,845.52/116.44
6. Step 6: Final answer
   x = 273.50