Finding the Third Proportional to 164.67 and 256.27

Step by Step Solution

1. Step 1: Write the proportion equation
   164.67 : 256.27 = 256.27 : x
2. Step 2: Convert to fraction form
   164.67/256.27 = 256.27/x
3. Step 3: Cross multiply
   164.67x = 256.27 × 256.27
4. Step 4: Simplify right side
   164.67x = 65,672.07
5. Step 5: Solve for x
   x = 65,672.07/164.67
6. Step 6: Final answer
   x = 398.81