Finding the Third Proportional to 142,778 and 222,072

Step by Step Solution

1. Step 1: Write the proportion equation
   142,778 : 222,072 = 222,072 : x
2. Step 2: Convert to fraction form
   142,778/222,072 = 222,072/x
3. Step 3: Cross multiply
   142,778x = 222,072 × 222,072
4. Step 4: Simplify right side
   142,778x = 49,315,973,184
5. Step 5: Solve for x
   x = 49,315,973,184/142,778
6. Step 6: Final answer
   x = 345,403.17