Finding the Third Proportional to 78.38 and 119.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78.38 : 119.25 = 119.25 : x
2. Step 2: Convert to fraction form
   78.38/119.25 = 119.25/x
3. Step 3: Cross multiply
   78.38x = 119.25 × 119.25
4. Step 4: Simplify right side
   78.38x = 14,220.56
5. Step 5: Solve for x
   x = 14,220.56/78.38
6. Step 6: Final answer
   x = 181.44