Finding the Third Proportional to 284,976 and 443,020

Step by Step Solution

1. Step 1: Write the proportion equation
   284,976 : 443,020 = 443,020 : x
2. Step 2: Convert to fraction form
   284,976/443,020 = 443,020/x
3. Step 3: Cross multiply
   284,976x = 443,020 × 443,020
4. Step 4: Simplify right side
   284,976x = 196,266,720,400
5. Step 5: Solve for x
   x = 196,266,720,400/284,976
6. Step 6: Final answer
   x = 688,713.16