Finding the Third Proportional to 78.25 and 119.38

Step by Step Solution

1. Step 1: Write the proportion equation
   78.25 : 119.38 = 119.38 : x
2. Step 2: Convert to fraction form
   78.25/119.38 = 119.38/x
3. Step 3: Cross multiply
   78.25x = 119.38 × 119.38
4. Step 4: Simplify right side
   78.25x = 14,250.39
5. Step 5: Solve for x
   x = 14,250.39/78.25
6. Step 6: Final answer
   x = 182.11