Finding the Third Proportional to 142,774 and 222,066

Step by Step Solution

1. Step 1: Write the proportion equation
   142,774 : 222,066 = 222,066 : x
2. Step 2: Convert to fraction form
   142,774/222,066 = 222,066/x
3. Step 3: Cross multiply
   142,774x = 222,066 × 222,066
4. Step 4: Simplify right side
   142,774x = 49,313,308,356
5. Step 5: Solve for x
   x = 49,313,308,356/142,774
6. Step 6: Final answer
   x = 345,394.18