Finding the Third Proportional to 105,136 and 227,768

Step by Step Solution

1. Step 1: Write the proportion equation
   105,136 : 227,768 = 227,768 : x
2. Step 2: Convert to fraction form
   105,136/227,768 = 227,768/x
3. Step 3: Cross multiply
   105,136x = 227,768 × 227,768
4. Step 4: Simplify right side
   105,136x = 51,878,261,824
5. Step 5: Solve for x
   x = 51,878,261,824/105,136
6. Step 6: Final answer
   x = 493,439.56