Finding the Third Proportional to 90.38 and 164.44

Step by Step Solution

1. Step 1: Write the proportion equation
   90.38 : 164.44 = 164.44 : x
2. Step 2: Convert to fraction form
   90.38/164.44 = 164.44/x
3. Step 3: Cross multiply
   90.38x = 164.44 × 164.44
4. Step 4: Simplify right side
   90.38x = 27,039.69
5. Step 5: Solve for x
   x = 27,039.69/90.38
6. Step 6: Final answer
   x = 299.19