Finding the Third Proportional to 105,113 and 227,722

Step by Step Solution

1. Step 1: Write the proportion equation
   105,113 : 227,722 = 227,722 : x
2. Step 2: Convert to fraction form
   105,113/227,722 = 227,722/x
3. Step 3: Cross multiply
   105,113x = 227,722 × 227,722
4. Step 4: Simplify right side
   105,113x = 51,857,309,284
5. Step 5: Solve for x
   x = 51,857,309,284/105,113
6. Step 6: Final answer
   x = 493,348.20