Finding the Third Proportional to 105,343 and 227,614

Step by Step Solution

1. Step 1: Write the proportion equation
   105,343 : 227,614 = 227,614 : x
2. Step 2: Convert to fraction form
   105,343/227,614 = 227,614/x
3. Step 3: Cross multiply
   105,343x = 227,614 × 227,614
4. Step 4: Simplify right side
   105,343x = 51,808,132,996
5. Step 5: Solve for x
   x = 51,808,132,996/105,343
6. Step 6: Final answer
   x = 491,804.23