Finding the Third Proportional to 65,198 and 142,388

Step by Step Solution

1. Step 1: Write the proportion equation
   65,198 : 142,388 = 142,388 : x
2. Step 2: Convert to fraction form
   65,198/142,388 = 142,388/x
3. Step 3: Cross multiply
   65,198x = 142,388 × 142,388
4. Step 4: Simplify right side
   65,198x = 20,274,342,544
5. Step 5: Solve for x
   x = 20,274,342,544/65,198
6. Step 6: Final answer
   x = 310,965.71