Finding the Third Proportional to 181,771 and 386,870

Step by Step Solution

1. Step 1: Write the proportion equation
   181,771 : 386,870 = 386,870 : x
2. Step 2: Convert to fraction form
   181,771/386,870 = 386,870/x
3. Step 3: Cross multiply
   181,771x = 386,870 × 386,870
4. Step 4: Simplify right side
   181,771x = 149,668,396,900
5. Step 5: Solve for x
   x = 149,668,396,900/181,771
6. Step 6: Final answer
   x = 823,389.85