Finding the Third Proportional to 189,920 and 443,696

Step by Step Solution

1. Step 1: Write the proportion equation
   189,920 : 443,696 = 443,696 : x
2. Step 2: Convert to fraction form
   189,920/443,696 = 443,696/x
3. Step 3: Cross multiply
   189,920x = 443,696 × 443,696
4. Step 4: Simplify right side
   189,920x = 196,866,140,416
5. Step 5: Solve for x
   x = 196,866,140,416/189,920
6. Step 6: Final answer
   x = 1,036,574.03