Finding the Third Proportional to 288,355 and 443,827

Step by Step Solution

1. Step 1: Write the proportion equation
   288,355 : 443,827 = 443,827 : x
2. Step 2: Convert to fraction form
   288,355/443,827 = 443,827/x
3. Step 3: Cross multiply
   288,355x = 443,827 × 443,827
4. Step 4: Simplify right side
   288,355x = 196,982,405,929
5. Step 5: Solve for x
   x = 196,982,405,929/288,355
6. Step 6: Final answer
   x = 683,124.64