Finding the Third Proportional to 105,727.50 and 227,808

Step by Step Solution

1. Step 1: Write the proportion equation
   105,727.50 : 227,808 = 227,808 : x
2. Step 2: Convert to fraction form
   105,727.50/227,808 = 227,808/x
3. Step 3: Cross multiply
   105,727.50x = 227,808 × 227,808
4. Step 4: Simplify right side
   105,727.50x = 51,896,484,864
5. Step 5: Solve for x
   x = 51,896,484,864/105,727.50
6. Step 6: Final answer
   x = 490,851.34