Finding the Third Proportional to 78.19 and 119.53

Step by Step Solution

1. Step 1: Write the proportion equation
   78.19 : 119.53 = 119.53 : x
2. Step 2: Convert to fraction form
   78.19/119.53 = 119.53/x
3. Step 3: Cross multiply
   78.19x = 119.53 × 119.53
4. Step 4: Simplify right side
   78.19x = 14,287.72
5. Step 5: Solve for x
   x = 14,287.72/78.19
6. Step 6: Final answer
   x = 182.74