Finding the Third Proportional to 111.38 and 164.53

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 164.53 = 164.53 : x
2. Step 2: Convert to fraction form
   111.38/164.53 = 164.53/x
3. Step 3: Cross multiply
   111.38x = 164.53 × 164.53
4. Step 4: Simplify right side
   111.38x = 27,070.53
5. Step 5: Solve for x
   x = 27,070.53/111.38
6. Step 6: Final answer
   x = 243.06