Finding the Third Proportional to 142,839 and 189,615.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142,839 : 189,615.38 = 189,615.38 : x
2. Step 2: Convert to fraction form
   142,839/189,615.38 = 189,615.38/x
3. Step 3: Cross multiply
   142,839x = 189,615.38 × 189,615.38
4. Step 4: Simplify right side
   142,839x = 35,953,990,436.39
5. Step 5: Solve for x
   x = 35,953,990,436.39/142,839
6. Step 6: Final answer
   x = 251,709.90