Finding the Third Proportional to 142,012 and 222,770

Step by Step Solution

1. Step 1: Write the proportion equation
   142,012 : 222,770 = 222,770 : x
2. Step 2: Convert to fraction form
   142,012/222,770 = 222,770/x
3. Step 3: Cross multiply
   142,012x = 222,770 × 222,770
4. Step 4: Simplify right side
   142,012x = 49,626,472,900
5. Step 5: Solve for x
   x = 49,626,472,900/142,012
6. Step 6: Final answer
   x = 349,452.67