Finding the Third Proportional to 105,012 and 227,520

Step by Step Solution

1. Step 1: Write the proportion equation
   105,012 : 227,520 = 227,520 : x
2. Step 2: Convert to fraction form
   105,012/227,520 = 227,520/x
3. Step 3: Cross multiply
   105,012x = 227,520 × 227,520
4. Step 4: Simplify right side
   105,012x = 51,765,350,400
5. Step 5: Solve for x
   x = 51,765,350,400/105,012
6. Step 6: Final answer
   x = 492,947.00