Finding the Third Proportional to 205,564 and 443,690

Step by Step Solution

1. Step 1: Write the proportion equation
   205,564 : 443,690 = 443,690 : x
2. Step 2: Convert to fraction form
   205,564/443,690 = 443,690/x
3. Step 3: Cross multiply
   205,564x = 443,690 × 443,690
4. Step 4: Simplify right side
   205,564x = 196,860,816,100
5. Step 5: Solve for x
   x = 196,860,816,100/205,564
6. Step 6: Final answer
   x = 957,661.93