Finding the Third Proportional to 142,842 and 225,996

Step by Step Solution

1. Step 1: Write the proportion equation
   142,842 : 225,996 = 225,996 : x
2. Step 2: Convert to fraction form
   142,842/225,996 = 225,996/x
3. Step 3: Cross multiply
   142,842x = 225,996 × 225,996
4. Step 4: Simplify right side
   142,842x = 51,074,192,016
5. Step 5: Solve for x
   x = 51,074,192,016/142,842
6. Step 6: Final answer
   x = 357,557.25