Finding the Third Proportional to 189,858 and 404,256

Step by Step Solution

1. Step 1: Write the proportion equation
   189,858 : 404,256 = 404,256 : x
2. Step 2: Convert to fraction form
   189,858/404,256 = 404,256/x
3. Step 3: Cross multiply
   189,858x = 404,256 × 404,256
4. Step 4: Simplify right side
   189,858x = 163,422,913,536
5. Step 5: Solve for x
   x = 163,422,913,536/189,858
6. Step 6: Final answer
   x = 860,763.91