Finding the Third Proportional to 424,064 and 636,096

Step by Step Solution

1. Step 1: Write the proportion equation
   424,064 : 636,096 = 636,096 : x
2. Step 2: Convert to fraction form
   424,064/636,096 = 636,096/x
3. Step 3: Cross multiply
   424,064x = 636,096 × 636,096
4. Step 4: Simplify right side
   424,064x = 404,618,121,216
5. Step 5: Solve for x
   x = 404,618,121,216/424,064
6. Step 6: Final answer
   x = 954,144