Finding the Third Proportional to 315,499 and 684,230

Step by Step Solution

1. Step 1: Write the proportion equation
   315,499 : 684,230 = 684,230 : x
2. Step 2: Convert to fraction form
   315,499/684,230 = 684,230/x
3. Step 3: Cross multiply
   315,499x = 684,230 × 684,230
4. Step 4: Simplify right side
   315,499x = 468,170,692,900
5. Step 5: Solve for x
   x = 468,170,692,900/315,499
6. Step 6: Final answer
   x = 1,483,905.47