Finding the Third Proportional to 500,748 and 682,002

Step by Step Solution

1. Step 1: Write the proportion equation
   500,748 : 682,002 = 682,002 : x
2. Step 2: Convert to fraction form
   500,748/682,002 = 682,002/x
3. Step 3: Cross multiply
   500,748x = 682,002 × 682,002
4. Step 4: Simplify right side
   500,748x = 465,126,728,004
5. Step 5: Solve for x
   x = 465,126,728,004/500,748
6. Step 6: Final answer
   x = 928,863.88