Finding the Third Proportional to 144,522 and 222,419

Step by Step Solution

1. Step 1: Write the proportion equation
   144,522 : 222,419 = 222,419 : x
2. Step 2: Convert to fraction form
   144,522/222,419 = 222,419/x
3. Step 3: Cross multiply
   144,522x = 222,419 × 222,419
4. Step 4: Simplify right side
   144,522x = 49,470,211,561
5. Step 5: Solve for x
   x = 49,470,211,561/144,522
6. Step 6: Final answer
   x = 342,302.29