Finding the Third Proportional to 159,903 and 352,002

Step by Step Solution

1. Step 1: Write the proportion equation
   159,903 : 352,002 = 352,002 : x
2. Step 2: Convert to fraction form
   159,903/352,002 = 352,002/x
3. Step 3: Cross multiply
   159,903x = 352,002 × 352,002
4. Step 4: Simplify right side
   159,903x = 123,905,408,004
5. Step 5: Solve for x
   x = 123,905,408,004/159,903
6. Step 6: Final answer
   x = 774,878.57