Finding the Third Proportional to 164.37 and 255.89

Step by Step Solution

1. Step 1: Write the proportion equation
   164.37 : 255.89 = 255.89 : x
2. Step 2: Convert to fraction form
   164.37/255.89 = 255.89/x
3. Step 3: Cross multiply
   164.37x = 255.89 × 255.89
4. Step 4: Simplify right side
   164.37x = 65,481.51
5. Step 5: Solve for x
   x = 65,481.51/164.37
6. Step 6: Final answer
   x = 398.37