Finding the Third Proportional to 119.50 and 190.25

Step by Step Solution

1. Step 1: Write the proportion equation
   119.50 : 190.25 = 190.25 : x
2. Step 2: Convert to fraction form
   119.50/190.25 = 190.25/x
3. Step 3: Cross multiply
   119.50x = 190.25 × 190.25
4. Step 4: Simplify right side
   119.50x = 36,195.06
5. Step 5: Solve for x
   x = 36,195.06/119.50
6. Step 6: Final answer
   x = 302.89