Finding the Third Proportional to 322,901 and 443,257

Step by Step Solution

1. Step 1: Write the proportion equation
   322,901 : 443,257 = 443,257 : x
2. Step 2: Convert to fraction form
   322,901/443,257 = 443,257/x
3. Step 3: Cross multiply
   322,901x = 443,257 × 443,257
4. Step 4: Simplify right side
   322,901x = 196,476,768,049
5. Step 5: Solve for x
   x = 196,476,768,049/322,901
6. Step 6: Final answer
   x = 608,473.71