Finding the Third Proportional to 413,186 and 638,002

Step by Step Solution

1. Step 1: Write the proportion equation
   413,186 : 638,002 = 638,002 : x
2. Step 2: Convert to fraction form
   413,186/638,002 = 638,002/x
3. Step 3: Cross multiply
   413,186x = 638,002 × 638,002
4. Step 4: Simplify right side
   413,186x = 407,046,552,004
5. Step 5: Solve for x
   x = 407,046,552,004/413,186
6. Step 6: Final answer
   x = 985,141.20