Finding the Third Proportional to 205,546 and 443,734

Step by Step Solution

1. Step 1: Write the proportion equation
   205,546 : 443,734 = 443,734 : x
2. Step 2: Convert to fraction form
   205,546/443,734 = 443,734/x
3. Step 3: Cross multiply
   205,546x = 443,734 × 443,734
4. Step 4: Simplify right side
   205,546x = 196,899,862,756
5. Step 5: Solve for x
   x = 196,899,862,756/205,546
6. Step 6: Final answer
   x = 957,935.76