Finding the Third Proportional to 144,912 and 222,768

Step by Step Solution

1. Step 1: Write the proportion equation
   144,912 : 222,768 = 222,768 : x
2. Step 2: Convert to fraction form
   144,912/222,768 = 222,768/x
3. Step 3: Cross multiply
   144,912x = 222,768 × 222,768
4. Step 4: Simplify right side
   144,912x = 49,625,581,824
5. Step 5: Solve for x
   x = 49,625,581,824/144,912
6. Step 6: Final answer
   x = 342,453.23