Finding the Third Proportional to 81.32 and 164.69

Step by Step Solution

1. Step 1: Write the proportion equation
   81.32 : 164.69 = 164.69 : x
2. Step 2: Convert to fraction form
   81.32/164.69 = 164.69/x
3. Step 3: Cross multiply
   81.32x = 164.69 × 164.69
4. Step 4: Simplify right side
   81.32x = 27,122.62
5. Step 5: Solve for x
   x = 27,122.62/81.32
6. Step 6: Final answer
   x = 333.54