Finding the Third Proportional to 206,914 and 443,357

Step by Step Solution

1. Step 1: Write the proportion equation
   206,914 : 443,357 = 443,357 : x
2. Step 2: Convert to fraction form
   206,914/443,357 = 443,357/x
3. Step 3: Cross multiply
   206,914x = 443,357 × 443,357
4. Step 4: Simplify right side
   206,914x = 196,565,429,449
5. Step 5: Solve for x
   x = 196,565,429,449/206,914
6. Step 6: Final answer
   x = 949,986.13