Finding the Third Proportional to 105,460.10 and 227,493.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105,460.10 : 227,493.56 = 227,493.56 : x
2. Step 2: Convert to fraction form
   105,460.10/227,493.56 = 227,493.56/x
3. Step 3: Cross multiply
   105,460.10x = 227,493.56 × 227,493.56
4. Step 4: Simplify right side
   105,460.10x = 51,753,320,978.94
5. Step 5: Solve for x
   x = 51,753,320,978.94/105,460.10
6. Step 6: Final answer
   x = 490,738.40