Finding the Third Proportional to 142,728 and 222,261

Step by Step Solution

1. Step 1: Write the proportion equation
   142,728 : 222,261 = 222,261 : x
2. Step 2: Convert to fraction form
   142,728/222,261 = 222,261/x
3. Step 3: Cross multiply
   142,728x = 222,261 × 222,261
4. Step 4: Simplify right side
   142,728x = 49,399,952,121
5. Step 5: Solve for x
   x = 49,399,952,121/142,728
6. Step 6: Final answer
   x = 346,112.55