Finding the Third Proportional to 119.25 and 190.06

Step by Step Solution

1. Step 1: Write the proportion equation
   119.25 : 190.06 = 190.06 : x
2. Step 2: Convert to fraction form
   119.25/190.06 = 190.06/x
3. Step 3: Cross multiply
   119.25x = 190.06 × 190.06
4. Step 4: Simplify right side
   119.25x = 36,123.75
5. Step 5: Solve for x
   x = 36,123.75/119.25
6. Step 6: Final answer
   x = 302.92