Finding the Third Proportional to 142,708.50 and 222,233.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,708.50 : 222,233.25 = 222,233.25 : x
2. Step 2: Convert to fraction form
   142,708.50/222,233.25 = 222,233.25/x
3. Step 3: Cross multiply
   142,708.50x = 222,233.25 × 222,233.25
4. Step 4: Simplify right side
   142,708.50x = 49,387,617,405.56
5. Step 5: Solve for x
   x = 49,387,617,405.56/142,708.50
6. Step 6: Final answer
   x = 346,073.41