Finding the Third Proportional to 181,838 and 386,662

Step by Step Solution

1. Step 1: Write the proportion equation
   181,838 : 386,662 = 386,662 : x
2. Step 2: Convert to fraction form
   181,838/386,662 = 386,662/x
3. Step 3: Cross multiply
   181,838x = 386,662 × 386,662
4. Step 4: Simplify right side
   181,838x = 149,507,502,244
5. Step 5: Solve for x
   x = 149,507,502,244/181,838
6. Step 6: Final answer
   x = 822,201.64