Finding the Third Proportional to 189,856 and 404,252

Step by Step Solution

1. Step 1: Write the proportion equation
   189,856 : 404,252 = 404,252 : x
2. Step 2: Convert to fraction form
   189,856/404,252 = 404,252/x
3. Step 3: Cross multiply
   189,856x = 404,252 × 404,252
4. Step 4: Simplify right side
   189,856x = 163,419,679,504
5. Step 5: Solve for x
   x = 163,419,679,504/189,856
6. Step 6: Final answer
   x = 860,755.94