Finding the Third Proportional to 289,626 and 443,056

Step by Step Solution

1. Step 1: Write the proportion equation
   289,626 : 443,056 = 443,056 : x
2. Step 2: Convert to fraction form
   289,626/443,056 = 443,056/x
3. Step 3: Cross multiply
   289,626x = 443,056 × 443,056
4. Step 4: Simplify right side
   289,626x = 196,298,619,136
5. Step 5: Solve for x
   x = 196,298,619,136/289,626
6. Step 6: Final answer
   x = 677,765.87