Finding the Third Proportional to 105,144 and 227,136

Step by Step Solution

1. Step 1: Write the proportion equation
   105,144 : 227,136 = 227,136 : x
2. Step 2: Convert to fraction form
   105,144/227,136 = 227,136/x
3. Step 3: Cross multiply
   105,144x = 227,136 × 227,136
4. Step 4: Simplify right side
   105,144x = 51,590,762,496
5. Step 5: Solve for x
   x = 51,590,762,496/105,144
6. Step 6: Final answer
   x = 490,667.68