Finding the Third Proportional to 85,871 and 188,004

Step by Step Solution

1. Step 1: Write the proportion equation
   85,871 : 188,004 = 188,004 : x
2. Step 2: Convert to fraction form
   85,871/188,004 = 188,004/x
3. Step 3: Cross multiply
   85,871x = 188,004 × 188,004
4. Step 4: Simplify right side
   85,871x = 35,345,504,016
5. Step 5: Solve for x
   x = 35,345,504,016/85,871
6. Step 6: Final answer
   x = 411,611.65