Finding the Third Proportional to 65,646 and 143,874

Step by Step Solution

1. Step 1: Write the proportion equation
   65,646 : 143,874 = 143,874 : x
2. Step 2: Convert to fraction form
   65,646/143,874 = 143,874/x
3. Step 3: Cross multiply
   65,646x = 143,874 × 143,874
4. Step 4: Simplify right side
   65,646x = 20,699,727,876
5. Step 5: Solve for x
   x = 20,699,727,876/65,646
6. Step 6: Final answer
   x = 315,323.52