Finding the Third Proportional to 309,096 and 677,970

Step by Step Solution

1. Step 1: Write the proportion equation
   309,096 : 677,970 = 677,970 : x
2. Step 2: Convert to fraction form
   309,096/677,970 = 677,970/x
3. Step 3: Cross multiply
   309,096x = 677,970 × 677,970
4. Step 4: Simplify right side
   309,096x = 459,643,320,900
5. Step 5: Solve for x
   x = 459,643,320,900/309,096
6. Step 6: Final answer
   x = 1,487,056.84