Finding the Third Proportional to 164.94 and 209.38

Step by Step Solution

1. Step 1: Write the proportion equation
   164.94 : 209.38 = 209.38 : x
2. Step 2: Convert to fraction form
   164.94/209.38 = 209.38/x
3. Step 3: Cross multiply
   164.94x = 209.38 × 209.38
4. Step 4: Simplify right side
   164.94x = 43,837.89
5. Step 5: Solve for x
   x = 43,837.89/164.94
6. Step 6: Final answer
   x = 265.78