Finding the Third Proportional to 267,678 and 582,012

Step by Step Solution

1. Step 1: Write the proportion equation
   267,678 : 582,012 = 582,012 : x
2. Step 2: Convert to fraction form
   267,678/582,012 = 582,012/x
3. Step 3: Cross multiply
   267,678x = 582,012 × 582,012
4. Step 4: Simplify right side
   267,678x = 338,737,968,144
5. Step 5: Solve for x
   x = 338,737,968,144/267,678
6. Step 6: Final answer
   x = 1,265,468.09