Finding the Third Proportional to 144,634 and 222,458

Step by Step Solution

1. Step 1: Write the proportion equation
   144,634 : 222,458 = 222,458 : x
2. Step 2: Convert to fraction form
   144,634/222,458 = 222,458/x
3. Step 3: Cross multiply
   144,634x = 222,458 × 222,458
4. Step 4: Simplify right side
   144,634x = 49,487,561,764
5. Step 5: Solve for x
   x = 49,487,561,764/144,634
6. Step 6: Final answer
   x = 342,157.18