Finding the Third Proportional to 105,465 and 227,504

Step by Step Solution

1. Step 1: Write the proportion equation
   105,465 : 227,504 = 227,504 : x
2. Step 2: Convert to fraction form
   105,465/227,504 = 227,504/x
3. Step 3: Cross multiply
   105,465x = 227,504 × 227,504
4. Step 4: Simplify right side
   105,465x = 51,758,070,016
5. Step 5: Solve for x
   x = 51,758,070,016/105,465
6. Step 6: Final answer
   x = 490,760.63