Finding the Third Proportional to 119.75 and 174.63

Step by Step Solution

1. Step 1: Write the proportion equation
   119.75 : 174.63 = 174.63 : x
2. Step 2: Convert to fraction form
   119.75/174.63 = 174.63/x
3. Step 3: Cross multiply
   119.75x = 174.63 × 174.63
4. Step 4: Simplify right side
   119.75x = 30,493.89
5. Step 5: Solve for x
   x = 30,493.89/119.75
6. Step 6: Final answer
   x = 254.65