Finding the Third Proportional to 105,036 and 225,672

Step by Step Solution

1. Step 1: Write the proportion equation
   105,036 : 225,672 = 225,672 : x
2. Step 2: Convert to fraction form
   105,036/225,672 = 225,672/x
3. Step 3: Cross multiply
   105,036x = 225,672 × 225,672
4. Step 4: Simplify right side
   105,036x = 50,927,851,584
5. Step 5: Solve for x
   x = 50,927,851,584/105,036
6. Step 6: Final answer
   x = 484,860.92