Finding the Third Proportional to 323,589 and 688,002

Step by Step Solution

1. Step 1: Write the proportion equation
   323,589 : 688,002 = 688,002 : x
2. Step 2: Convert to fraction form
   323,589/688,002 = 688,002/x
3. Step 3: Cross multiply
   323,589x = 688,002 × 688,002
4. Step 4: Simplify right side
   323,589x = 473,346,752,004
5. Step 5: Solve for x
   x = 473,346,752,004/323,589
6. Step 6: Final answer
   x = 1,462,802.36