Finding the Third Proportional to 315,494 and 684,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,494 : 684,219.50 = 684,219.50 : x
2. Step 2: Convert to fraction form
   315,494/684,219.50 = 684,219.50/x
3. Step 3: Cross multiply
   315,494x = 684,219.50 × 684,219.50
4. Step 4: Simplify right side
   315,494x = 468,156,324,180.25
5. Step 5: Solve for x
   x = 468,156,324,180.25/315,494
6. Step 6: Final answer
   x = 1,483,883.45