Finding the Third Proportional to 105,420 and 230,504

Step by Step Solution

1. Step 1: Write the proportion equation
   105,420 : 230,504 = 230,504 : x
2. Step 2: Convert to fraction form
   105,420/230,504 = 230,504/x
3. Step 3: Cross multiply
   105,420x = 230,504 × 230,504
4. Step 4: Simplify right side
   105,420x = 53,132,094,016
5. Step 5: Solve for x
   x = 53,132,094,016/105,420
6. Step 6: Final answer
   x = 504,003.93