Finding the Third Proportional to 259,002 and 400,007

Step by Step Solution

1. Step 1: Write the proportion equation
   259,002 : 400,007 = 400,007 : x
2. Step 2: Convert to fraction form
   259,002/400,007 = 400,007/x
3. Step 3: Cross multiply
   259,002x = 400,007 × 400,007
4. Step 4: Simplify right side
   259,002x = 160,005,600,049
5. Step 5: Solve for x
   x = 160,005,600,049/259,002
6. Step 6: Final answer
   x = 617,777.47