Finding the Third Proportional to 181,962 and 395,004

Step by Step Solution

1. Step 1: Write the proportion equation
   181,962 : 395,004 = 395,004 : x
2. Step 2: Convert to fraction form
   181,962/395,004 = 395,004/x
3. Step 3: Cross multiply
   181,962x = 395,004 × 395,004
4. Step 4: Simplify right side
   181,962x = 156,028,160,016
5. Step 5: Solve for x
   x = 156,028,160,016/181,962
6. Step 6: Final answer
   x = 857,476.62