Finding the Third Proportional to 284,970 and 443,011

Step by Step Solution

1. Step 1: Write the proportion equation
   284,970 : 443,011 = 443,011 : x
2. Step 2: Convert to fraction form
   284,970/443,011 = 443,011/x
3. Step 3: Cross multiply
   284,970x = 443,011 × 443,011
4. Step 4: Simplify right side
   284,970x = 196,258,746,121
5. Step 5: Solve for x
   x = 196,258,746,121/284,970
6. Step 6: Final answer
   x = 688,699.67