Finding the Third Proportional to 259,756 and 352,002

Step by Step Solution

1. Step 1: Write the proportion equation
   259,756 : 352,002 = 352,002 : x
2. Step 2: Convert to fraction form
   259,756/352,002 = 352,002/x
3. Step 3: Cross multiply
   259,756x = 352,002 × 352,002
4. Step 4: Simplify right side
   259,756x = 123,905,408,004
5. Step 5: Solve for x
   x = 123,905,408,004/259,756
6. Step 6: Final answer
   x = 477,006.91