Finding the Third Proportional to 142,856 and 226,013

Step by Step Solution

1. Step 1: Write the proportion equation
   142,856 : 226,013 = 226,013 : x
2. Step 2: Convert to fraction form
   142,856/226,013 = 226,013/x
3. Step 3: Cross multiply
   142,856x = 226,013 × 226,013
4. Step 4: Simplify right side
   142,856x = 51,081,876,169
5. Step 5: Solve for x
   x = 51,081,876,169/142,856
6. Step 6: Final answer
   x = 357,575.99