Finding the Third Proportional to 142,724 and 222,257

Step by Step Solution

1. Step 1: Write the proportion equation
   142,724 : 222,257 = 222,257 : x
2. Step 2: Convert to fraction form
   142,724/222,257 = 222,257/x
3. Step 3: Cross multiply
   142,724x = 222,257 × 222,257
4. Step 4: Simplify right side
   142,724x = 49,398,174,049
5. Step 5: Solve for x
   x = 49,398,174,049/142,724
6. Step 6: Final answer
   x = 346,109.79