Finding the Third Proportional to 142,723 and 222,255

Step by Step Solution

1. Step 1: Write the proportion equation
   142,723 : 222,255 = 222,255 : x
2. Step 2: Convert to fraction form
   142,723/222,255 = 222,255/x
3. Step 3: Cross multiply
   142,723x = 222,255 × 222,255
4. Step 4: Simplify right side
   142,723x = 49,397,285,025
5. Step 5: Solve for x
   x = 49,397,285,025/142,723
6. Step 6: Final answer
   x = 346,105.99