Finding the Third Proportional to 144,674 and 222,627

Step by Step Solution

1. Step 1: Write the proportion equation
   144,674 : 222,627 = 222,627 : x
2. Step 2: Convert to fraction form
   144,674/222,627 = 222,627/x
3. Step 3: Cross multiply
   144,674x = 222,627 × 222,627
4. Step 4: Simplify right side
   144,674x = 49,562,781,129
5. Step 5: Solve for x
   x = 49,562,781,129/144,674
6. Step 6: Final answer
   x = 342,582.50