Finding the Third Proportional to 142,742 and 222,017

Step by Step Solution

1. Step 1: Write the proportion equation
   142,742 : 222,017 = 222,017 : x
2. Step 2: Convert to fraction form
   142,742/222,017 = 222,017/x
3. Step 3: Cross multiply
   142,742x = 222,017 × 222,017
4. Step 4: Simplify right side
   142,742x = 49,291,548,289
5. Step 5: Solve for x
   x = 49,291,548,289/142,742
6. Step 6: Final answer
   x = 345,319.17