Finding the Third Proportional to 142,772 and 222,063

Step by Step Solution

1. Step 1: Write the proportion equation
   142,772 : 222,063 = 222,063 : x
2. Step 2: Convert to fraction form
   142,772/222,063 = 222,063/x
3. Step 3: Cross multiply
   142,772x = 222,063 × 222,063
4. Step 4: Simplify right side
   142,772x = 49,311,975,969
5. Step 5: Solve for x
   x = 49,311,975,969/142,772
6. Step 6: Final answer
   x = 345,389.68