Finding the Third Proportional to 289,932 and 443,509

Step by Step Solution

1. Step 1: Write the proportion equation
   289,932 : 443,509 = 443,509 : x
2. Step 2: Convert to fraction form
   289,932/443,509 = 443,509/x
3. Step 3: Cross multiply
   289,932x = 443,509 × 443,509
4. Step 4: Simplify right side
   289,932x = 196,700,233,081
5. Step 5: Solve for x
   x = 196,700,233,081/289,932
6. Step 6: Final answer
   x = 678,435.75