Finding the Third Proportional to 119.50 and 165.25

Step by Step Solution

1. Step 1: Write the proportion equation
   119.50 : 165.25 = 165.25 : x
2. Step 2: Convert to fraction form
   119.50/165.25 = 165.25/x
3. Step 3: Cross multiply
   119.50x = 165.25 × 165.25
4. Step 4: Simplify right side
   119.50x = 27,307.56
5. Step 5: Solve for x
   x = 27,307.56/119.50
6. Step 6: Final answer
   x = 228.52