Finding the Third Proportional to 189,872 and 404,288

Step by Step Solution

1. Step 1: Write the proportion equation
   189,872 : 404,288 = 404,288 : x
2. Step 2: Convert to fraction form
   189,872/404,288 = 404,288/x
3. Step 3: Cross multiply
   189,872x = 404,288 × 404,288
4. Step 4: Simplify right side
   189,872x = 163,448,786,944
5. Step 5: Solve for x
   x = 163,448,786,944/189,872
6. Step 6: Final answer
   x = 860,836.71