Finding the Third Proportional to 105,136.50 and 227,769

Step by Step Solution

1. Step 1: Write the proportion equation
   105,136.50 : 227,769 = 227,769 : x
2. Step 2: Convert to fraction form
   105,136.50/227,769 = 227,769/x
3. Step 3: Cross multiply
   105,136.50x = 227,769 × 227,769
4. Step 4: Simplify right side
   105,136.50x = 51,878,717,361
5. Step 5: Solve for x
   x = 51,878,717,361/105,136.50
6. Step 6: Final answer
   x = 493,441.55