Finding the Third Proportional to 284,972 and 443,014

Step by Step Solution

1. Step 1: Write the proportion equation
   284,972 : 443,014 = 443,014 : x
2. Step 2: Convert to fraction form
   284,972/443,014 = 443,014/x
3. Step 3: Cross multiply
   284,972x = 443,014 × 443,014
4. Step 4: Simplify right side
   284,972x = 196,261,404,196
5. Step 5: Solve for x
   x = 196,261,404,196/284,972
6. Step 6: Final answer
   x = 688,704.17