Finding the Third Proportional to 105,087 and 227,982.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,087 : 227,982.75 = 227,982.75 : x
2. Step 2: Convert to fraction form
   105,087/227,982.75 = 227,982.75/x
3. Step 3: Cross multiply
   105,087x = 227,982.75 × 227,982.75
4. Step 4: Simplify right side
   105,087x = 51,976,134,297.56
5. Step 5: Solve for x
   x = 51,976,134,297.56/105,087
6. Step 6: Final answer
   x = 494,600.99