Finding the Third Proportional to 315,984 and 500,280

Step by Step Solution

1. Step 1: Write the proportion equation
   315,984 : 500,280 = 500,280 : x
2. Step 2: Convert to fraction form
   315,984/500,280 = 500,280/x
3. Step 3: Cross multiply
   315,984x = 500,280 × 500,280
4. Step 4: Simplify right side
   315,984x = 250,280,078,400
5. Step 5: Solve for x
   x = 250,280,078,400/315,984
6. Step 6: Final answer
   x = 792,065.67