Finding the Third Proportional to 315,870 and 684,228

Step by Step Solution

1. Step 1: Write the proportion equation
   315,870 : 684,228 = 684,228 : x
2. Step 2: Convert to fraction form
   315,870/684,228 = 684,228/x
3. Step 3: Cross multiply
   315,870x = 684,228 × 684,228
4. Step 4: Simplify right side
   315,870x = 468,167,955,984
5. Step 5: Solve for x
   x = 468,167,955,984/315,870
6. Step 6: Final answer
   x = 1,482,153.91