Finding the Third Proportional to 189,892 and 404,328

Step by Step Solution

1. Step 1: Write the proportion equation
   189,892 : 404,328 = 404,328 : x
2. Step 2: Convert to fraction form
   189,892/404,328 = 404,328/x
3. Step 3: Cross multiply
   189,892x = 404,328 × 404,328
4. Step 4: Simplify right side
   189,892x = 163,481,131,584
5. Step 5: Solve for x
   x = 163,481,131,584/189,892
6. Step 6: Final answer
   x = 860,916.37