Finding the Third Proportional to 142,746 and 222,294

Step by Step Solution

1. Step 1: Write the proportion equation
   142,746 : 222,294 = 222,294 : x
2. Step 2: Convert to fraction form
   142,746/222,294 = 222,294/x
3. Step 3: Cross multiply
   142,746x = 222,294 × 222,294
4. Step 4: Simplify right side
   142,746x = 49,414,622,436
5. Step 5: Solve for x
   x = 49,414,622,436/142,746
6. Step 6: Final answer
   x = 346,171.68