Finding the Third Proportional to 105,768 and 222,444

Step by Step Solution

1. Step 1: Write the proportion equation
   105,768 : 222,444 = 222,444 : x
2. Step 2: Convert to fraction form
   105,768/222,444 = 222,444/x
3. Step 3: Cross multiply
   105,768x = 222,444 × 222,444
4. Step 4: Simplify right side
   105,768x = 49,481,333,136
5. Step 5: Solve for x
   x = 49,481,333,136/105,768
6. Step 6: Final answer
   x = 467,828.96