Finding the Third Proportional to 78.89 and 165.59

Step by Step Solution

1. Step 1: Write the proportion equation
   78.89 : 165.59 = 165.59 : x
2. Step 2: Convert to fraction form
   78.89/165.59 = 165.59/x
3. Step 3: Cross multiply
   78.89x = 165.59 × 165.59
4. Step 4: Simplify right side
   78.89x = 27,418.70
5. Step 5: Solve for x
   x = 27,418.70/78.89
6. Step 6: Final answer
   x = 347.55