Finding the Third Proportional to 105,206 and 227,260

Step by Step Solution

1. Step 1: Write the proportion equation
   105,206 : 227,260 = 227,260 : x
2. Step 2: Convert to fraction form
   105,206/227,260 = 227,260/x
3. Step 3: Cross multiply
   105,206x = 227,260 × 227,260
4. Step 4: Simplify right side
   105,206x = 51,647,107,600
5. Step 5: Solve for x
   x = 51,647,107,600/105,206
6. Step 6: Final answer
   x = 490,914.09