Finding the Third Proportional to 165.94 and 256.22

Step by Step Solution

1. Step 1: Write the proportion equation
   165.94 : 256.22 = 256.22 : x
2. Step 2: Convert to fraction form
   165.94/256.22 = 256.22/x
3. Step 3: Cross multiply
   165.94x = 256.22 × 256.22
4. Step 4: Simplify right side
   165.94x = 65,648.05
5. Step 5: Solve for x
   x = 65,648.05/165.94
6. Step 6: Final answer
   x = 395.62