Finding the Third Proportional to 164.81 and 256.22

Step by Step Solution

1. Step 1: Write the proportion equation
   164.81 : 256.22 = 256.22 : x
2. Step 2: Convert to fraction form
   164.81/256.22 = 256.22/x
3. Step 3: Cross multiply
   164.81x = 256.22 × 256.22
4. Step 4: Simplify right side
   164.81x = 65,648.05
5. Step 5: Solve for x
   x = 65,648.05/164.81
6. Step 6: Final answer
   x = 398.32