Finding the Third Proportional to 105,424 and 230,304

Step by Step Solution

1. Step 1: Write the proportion equation
   105,424 : 230,304 = 230,304 : x
2. Step 2: Convert to fraction form
   105,424/230,304 = 230,304/x
3. Step 3: Cross multiply
   105,424x = 230,304 × 230,304
4. Step 4: Simplify right side
   105,424x = 53,039,932,416
5. Step 5: Solve for x
   x = 53,039,932,416/105,424
6. Step 6: Final answer
   x = 503,110.60