Finding the Third Proportional to 186.05 and 414.89

Step by Step Solution

1. Step 1: Write the proportion equation
   186.05 : 414.89 = 414.89 : x
2. Step 2: Convert to fraction form
   186.05/414.89 = 414.89/x
3. Step 3: Cross multiply
   186.05x = 414.89 × 414.89
4. Step 4: Simplify right side
   186.05x = 172,134.23
5. Step 5: Solve for x
   x = 172,134.23/186.05
6. Step 6: Final answer
   x = 925.22