Finding the Third Proportional to 78.06 and 114.09

Step by Step Solution

1. Step 1: Write the proportion equation
   78.06 : 114.09 = 114.09 : x
2. Step 2: Convert to fraction form
   78.06/114.09 = 114.09/x
3. Step 3: Cross multiply
   78.06x = 114.09 × 114.09
4. Step 4: Simplify right side
   78.06x = 13,017.38
5. Step 5: Solve for x
   x = 13,017.38/78.06
6. Step 6: Final answer
   x = 166.76