Finding the Third Proportional to 206,914 and 443,356

Step by Step Solution

1. Step 1: Write the proportion equation
   206,914 : 443,356 = 443,356 : x
2. Step 2: Convert to fraction form
   206,914/443,356 = 443,356/x
3. Step 3: Cross multiply
   206,914x = 443,356 × 443,356
4. Step 4: Simplify right side
   206,914x = 196,564,542,736
5. Step 5: Solve for x
   x = 196,564,542,736/206,914
6. Step 6: Final answer
   x = 949,981.84