Finding the Third Proportional to 189,296 and 404,855

Step by Step Solution

1. Step 1: Write the proportion equation
   189,296 : 404,855 = 404,855 : x
2. Step 2: Convert to fraction form
   189,296/404,855 = 404,855/x
3. Step 3: Cross multiply
   189,296x = 404,855 × 404,855
4. Step 4: Simplify right side
   189,296x = 163,907,571,025
5. Step 5: Solve for x
   x = 163,907,571,025/189,296
6. Step 6: Final answer
   x = 865,879.74