Finding the Third Proportional to 315,280 and 684,144

Step by Step Solution

1. Step 1: Write the proportion equation
   315,280 : 684,144 = 684,144 : x
2. Step 2: Convert to fraction form
   315,280/684,144 = 684,144/x
3. Step 3: Cross multiply
   315,280x = 684,144 × 684,144
4. Step 4: Simplify right side
   315,280x = 468,053,012,736
5. Step 5: Solve for x
   x = 468,053,012,736/315,280
6. Step 6: Final answer
   x = 1,484,562.97