Finding the Third Proportional to 298,214 and 443,271

Step by Step Solution

1. Step 1: Write the proportion equation
   298,214 : 443,271 = 443,271 : x
2. Step 2: Convert to fraction form
   298,214/443,271 = 443,271/x
3. Step 3: Cross multiply
   298,214x = 443,271 × 443,271
4. Step 4: Simplify right side
   298,214x = 196,489,179,441
5. Step 5: Solve for x
   x = 196,489,179,441/298,214
6. Step 6: Final answer
   x = 658,886.50