Finding the Third Proportional to 85.88 and 165.94

Step by Step Solution

1. Step 1: Write the proportion equation
   85.88 : 165.94 = 165.94 : x
2. Step 2: Convert to fraction form
   85.88/165.94 = 165.94/x
3. Step 3: Cross multiply
   85.88x = 165.94 × 165.94
4. Step 4: Simplify right side
   85.88x = 27,535.25
5. Step 5: Solve for x
   x = 27,535.25/85.88
6. Step 6: Final answer
   x = 320.64