Finding the Third Proportional to 142,708.50 and 222,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,708.50 : 222,233.50 = 222,233.50 : x
2. Step 2: Convert to fraction form
   142,708.50/222,233.50 = 222,233.50/x
3. Step 3: Cross multiply
   142,708.50x = 222,233.50 × 222,233.50
4. Step 4: Simplify right side
   142,708.50x = 49,387,728,522.25
5. Step 5: Solve for x
   x = 49,387,728,522.25/142,708.50
6. Step 6: Final answer
   x = 346,074.19