Finding the Third Proportional to 105,542 and 222,018

Step by Step Solution

1. Step 1: Write the proportion equation
   105,542 : 222,018 = 222,018 : x
2. Step 2: Convert to fraction form
   105,542/222,018 = 222,018/x
3. Step 3: Cross multiply
   105,542x = 222,018 × 222,018
4. Step 4: Simplify right side
   105,542x = 49,291,992,324
5. Step 5: Solve for x
   x = 49,291,992,324/105,542
6. Step 6: Final answer
   x = 467,036.75