Finding the Third Proportional to 206,905 and 443,327

Step by Step Solution

1. Step 1: Write the proportion equation
   206,905 : 443,327 = 443,327 : x
2. Step 2: Convert to fraction form
   206,905/443,327 = 443,327/x
3. Step 3: Cross multiply
   206,905x = 443,327 × 443,327
4. Step 4: Simplify right side
   206,905x = 196,538,828,929
5. Step 5: Solve for x
   x = 196,538,828,929/206,905
6. Step 6: Final answer
   x = 949,898.89