Finding the Third Proportional to 105,504 and 227,654

Step by Step Solution

1. Step 1: Write the proportion equation
   105,504 : 227,654 = 227,654 : x
2. Step 2: Convert to fraction form
   105,504/227,654 = 227,654/x
3. Step 3: Cross multiply
   105,504x = 227,654 × 227,654
4. Step 4: Simplify right side
   105,504x = 51,826,343,716
5. Step 5: Solve for x
   x = 51,826,343,716/105,504
6. Step 6: Final answer
   x = 491,226.34