Finding the Third Proportional to 89.44 and 194.06

Step by Step Solution

1. Step 1: Write the proportion equation
   89.44 : 194.06 = 194.06 : x
2. Step 2: Convert to fraction form
   89.44/194.06 = 194.06/x
3. Step 3: Cross multiply
   89.44x = 194.06 × 194.06
4. Step 4: Simplify right side
   89.44x = 37,660.25
5. Step 5: Solve for x
   x = 37,660.25/89.44
6. Step 6: Final answer
   x = 421.08