Finding the Third Proportional to 105,774 and 222,456

Step by Step Solution

1. Step 1: Write the proportion equation
   105,774 : 222,456 = 222,456 : x
2. Step 2: Convert to fraction form
   105,774/222,456 = 222,456/x
3. Step 3: Cross multiply
   105,774x = 222,456 × 222,456
4. Step 4: Simplify right side
   105,774x = 49,486,671,936
5. Step 5: Solve for x
   x = 49,486,671,936/105,774
6. Step 6: Final answer
   x = 467,852.89