Finding the Third Proportional to 144,588 and 222,519

Step by Step Solution

1. Step 1: Write the proportion equation
   144,588 : 222,519 = 222,519 : x
2. Step 2: Convert to fraction form
   144,588/222,519 = 222,519/x
3. Step 3: Cross multiply
   144,588x = 222,519 × 222,519
4. Step 4: Simplify right side
   144,588x = 49,514,705,361
5. Step 5: Solve for x
   x = 49,514,705,361/144,588
6. Step 6: Final answer
   x = 342,453.77