Finding the Third Proportional to 119.25 and 175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119.25 : 175.50 = 175.50 : x
2. Step 2: Convert to fraction form
   119.25/175.50 = 175.50/x
3. Step 3: Cross multiply
   119.25x = 175.50 × 175.50
4. Step 4: Simplify right side
   119.25x = 30,800.25
5. Step 5: Solve for x
   x = 30,800.25/119.25
6. Step 6: Final answer
   x = 258.28