Finding the Third Proportional to 78.69 and 119.63

Step by Step Solution

1. Step 1: Write the proportion equation
   78.69 : 119.63 = 119.63 : x
2. Step 2: Convert to fraction form
   78.69/119.63 = 119.63/x
3. Step 3: Cross multiply
   78.69x = 119.63 × 119.63
4. Step 4: Simplify right side
   78.69x = 14,310.14
5. Step 5: Solve for x
   x = 14,310.14/78.69
6. Step 6: Final answer
   x = 181.86