Finding the Third Proportional to 111.66 and 194.06

Step by Step Solution

1. Step 1: Write the proportion equation
   111.66 : 194.06 = 194.06 : x
2. Step 2: Convert to fraction form
   111.66/194.06 = 194.06/x
3. Step 3: Cross multiply
   111.66x = 194.06 × 194.06
4. Step 4: Simplify right side
   111.66x = 37,660.25
5. Step 5: Solve for x
   x = 37,660.25/111.66
6. Step 6: Final answer
   x = 337.29