Finding the Third Proportional to 142,708 and 222,233

Step by Step Solution

1. Step 1: Write the proportion equation
   142,708 : 222,233 = 222,233 : x
2. Step 2: Convert to fraction form
   142,708/222,233 = 222,233/x
3. Step 3: Cross multiply
   142,708x = 222,233 × 222,233
4. Step 4: Simplify right side
   142,708x = 49,387,506,289
5. Step 5: Solve for x
   x = 49,387,506,289/142,708
6. Step 6: Final answer
   x = 346,073.85