Finding the Third Proportional to 89.38 and 188.88

Step by Step Solution

1. Step 1: Write the proportion equation
   89.38 : 188.88 = 188.88 : x
2. Step 2: Convert to fraction form
   89.38/188.88 = 188.88/x
3. Step 3: Cross multiply
   89.38x = 188.88 × 188.88
4. Step 4: Simplify right side
   89.38x = 35,673.77
5. Step 5: Solve for x
   x = 35,673.77/89.38
6. Step 6: Final answer
   x = 399.15