Finding the Third Proportional to 186.38 and 404.06

Step by Step Solution

1. Step 1: Write the proportion equation
   186.38 : 404.06 = 404.06 : x
2. Step 2: Convert to fraction form
   186.38/404.06 = 404.06/x
3. Step 3: Cross multiply
   186.38x = 404.06 × 404.06
4. Step 4: Simplify right side
   186.38x = 163,266.50
5. Step 5: Solve for x
   x = 163,266.50/186.38
6. Step 6: Final answer
   x = 876.01