Finding the Third Proportional to 105,136 and 227,120

Step by Step Solution

1. Step 1: Write the proportion equation
   105,136 : 227,120 = 227,120 : x
2. Step 2: Convert to fraction form
   105,136/227,120 = 227,120/x
3. Step 3: Cross multiply
   105,136x = 227,120 × 227,120
4. Step 4: Simplify right side
   105,136x = 51,583,494,400
5. Step 5: Solve for x
   x = 51,583,494,400/105,136
6. Step 6: Final answer
   x = 490,635.88