Finding the Third Proportional to 112.10 and 174.80

Step by Step Solution

1. Step 1: Write the proportion equation
   112.10 : 174.80 = 174.80 : x
2. Step 2: Convert to fraction form
   112.10/174.80 = 174.80/x
3. Step 3: Cross multiply
   112.10x = 174.80 × 174.80
4. Step 4: Simplify right side
   112.10x = 30,553.95
5. Step 5: Solve for x
   x = 30,553.95/112.10
6. Step 6: Final answer
   x = 272.56