Finding the Third Proportional to 105,012 and 222,975

Step by Step Solution

1. Step 1: Write the proportion equation
   105,012 : 222,975 = 222,975 : x
2. Step 2: Convert to fraction form
   105,012/222,975 = 222,975/x
3. Step 3: Cross multiply
   105,012x = 222,975 × 222,975
4. Step 4: Simplify right side
   105,012x = 49,717,850,625
5. Step 5: Solve for x
   x = 49,717,850,625/105,012
6. Step 6: Final answer
   x = 473,449.23