Finding the Third Proportional to 112.78 and 174.09

Step by Step Solution

1. Step 1: Write the proportion equation
   112.78 : 174.09 = 174.09 : x
2. Step 2: Convert to fraction form
   112.78/174.09 = 174.09/x
3. Step 3: Cross multiply
   112.78x = 174.09 × 174.09
4. Step 4: Simplify right side
   112.78x = 30,308.63
5. Step 5: Solve for x
   x = 30,308.63/112.78
6. Step 6: Final answer
   x = 268.74