Finding the Third Proportional to 269,136 and 410,256

Step by Step Solution

1. Step 1: Write the proportion equation
   269,136 : 410,256 = 410,256 : x
2. Step 2: Convert to fraction form
   269,136/410,256 = 410,256/x
3. Step 3: Cross multiply
   269,136x = 410,256 × 410,256
4. Step 4: Simplify right side
   269,136x = 168,309,985,536
5. Step 5: Solve for x
   x = 168,309,985,536/269,136
6. Step 6: Final answer
   x = 625,371.51