Finding the Third Proportional to 315,492 and 684,216

Step by Step Solution

1. Step 1: Write the proportion equation
   315,492 : 684,216 = 684,216 : x
2. Step 2: Convert to fraction form
   315,492/684,216 = 684,216/x
3. Step 3: Cross multiply
   315,492x = 684,216 × 684,216
4. Step 4: Simplify right side
   315,492x = 468,151,534,656
5. Step 5: Solve for x
   x = 468,151,534,656/315,492
6. Step 6: Final answer
   x = 1,483,877.67