Finding the Third Proportional to 186.38 and 387.38

Step by Step Solution

1. Step 1: Write the proportion equation
   186.38 : 387.38 = 387.38 : x
2. Step 2: Convert to fraction form
   186.38/387.38 = 387.38/x
3. Step 3: Cross multiply
   186.38x = 387.38 × 387.38
4. Step 4: Simplify right side
   186.38x = 150,059.39
5. Step 5: Solve for x
   x = 150,059.39/186.38
6. Step 6: Final answer
   x = 805.15