Finding the Third Proportional to 84.38 and 186.89

Step by Step Solution

1. Step 1: Write the proportion equation
   84.38 : 186.89 = 186.89 : x
2. Step 2: Convert to fraction form
   84.38/186.89 = 186.89/x
3. Step 3: Cross multiply
   84.38x = 186.89 × 186.89
4. Step 4: Simplify right side
   84.38x = 34,928.11
5. Step 5: Solve for x
   x = 34,928.11/84.38
6. Step 6: Final answer
   x = 413.96