Finding the Third Proportional to 159,002 and 222,843

Step by Step Solution

1. Step 1: Write the proportion equation
   159,002 : 222,843 = 222,843 : x
2. Step 2: Convert to fraction form
   159,002/222,843 = 222,843/x
3. Step 3: Cross multiply
   159,002x = 222,843 × 222,843
4. Step 4: Simplify right side
   159,002x = 49,659,002,649
5. Step 5: Solve for x
   x = 49,659,002,649/159,002
6. Step 6: Final answer
   x = 312,316.84