Finding the Third Proportional to 362,871 and 769,002

Step by Step Solution

1. Step 1: Write the proportion equation
   362,871 : 769,002 = 769,002 : x
2. Step 2: Convert to fraction form
   362,871/769,002 = 769,002/x
3. Step 3: Cross multiply
   362,871x = 769,002 × 769,002
4. Step 4: Simplify right side
   362,871x = 591,364,076,004
5. Step 5: Solve for x
   x = 591,364,076,004/362,871
6. Step 6: Final answer
   x = 1,629,681.28