Finding the Third Proportional to 142,858 and 226,016

Step by Step Solution

1. Step 1: Write the proportion equation
   142,858 : 226,016 = 226,016 : x
2. Step 2: Convert to fraction form
   142,858/226,016 = 226,016/x
3. Step 3: Cross multiply
   142,858x = 226,016 × 226,016
4. Step 4: Simplify right side
   142,858x = 51,083,232,256
5. Step 5: Solve for x
   x = 51,083,232,256/142,858
6. Step 6: Final answer
   x = 357,580.48