Finding the Third Proportional to 105,417 and 222,600

Step by Step Solution

1. Step 1: Write the proportion equation
   105,417 : 222,600 = 222,600 : x
2. Step 2: Convert to fraction form
   105,417/222,600 = 222,600/x
3. Step 3: Cross multiply
   105,417x = 222,600 × 222,600
4. Step 4: Simplify right side
   105,417x = 49,550,760,000
5. Step 5: Solve for x
   x = 49,550,760,000/105,417
6. Step 6: Final answer
   x = 470,045.25