Finding the Third Proportional to 78.56 and 119.39

Step by Step Solution

1. Step 1: Write the proportion equation
   78.56 : 119.39 = 119.39 : x
2. Step 2: Convert to fraction form
   78.56/119.39 = 119.39/x
3. Step 3: Cross multiply
   78.56x = 119.39 × 119.39
4. Step 4: Simplify right side
   78.56x = 14,254.12
5. Step 5: Solve for x
   x = 14,254.12/78.56
6. Step 6: Final answer
   x = 181.44