Finding the Third Proportional to 269,136 and 584,064

Step by Step Solution

1. Step 1: Write the proportion equation
   269,136 : 584,064 = 584,064 : x
2. Step 2: Convert to fraction form
   269,136/584,064 = 584,064/x
3. Step 3: Cross multiply
   269,136x = 584,064 × 584,064
4. Step 4: Simplify right side
   269,136x = 341,130,756,096
5. Step 5: Solve for x
   x = 341,130,756,096/269,136
6. Step 6: Final answer
   x = 1,267,503.26