Finding the Third Proportional to 81.75 and 165.56

Step by Step Solution

1. Step 1: Write the proportion equation
   81.75 : 165.56 = 165.56 : x
2. Step 2: Convert to fraction form
   81.75/165.56 = 165.56/x
3. Step 3: Cross multiply
   81.75x = 165.56 × 165.56
4. Step 4: Simplify right side
   81.75x = 27,410.94
5. Step 5: Solve for x
   x = 27,410.94/81.75
6. Step 6: Final answer
   x = 335.30