Finding the Third Proportional to 144,526 and 222,424

Step by Step Solution

1. Step 1: Write the proportion equation
   144,526 : 222,424 = 222,424 : x
2. Step 2: Convert to fraction form
   144,526/222,424 = 222,424/x
3. Step 3: Cross multiply
   144,526x = 222,424 × 222,424
4. Step 4: Simplify right side
   144,526x = 49,472,435,776
5. Step 5: Solve for x
   x = 49,472,435,776/144,526
6. Step 6: Final answer
   x = 342,308.21