Finding the Third Proportional to 105,338 and 230,384

Step by Step Solution

1. Step 1: Write the proportion equation
   105,338 : 230,384 = 230,384 : x
2. Step 2: Convert to fraction form
   105,338/230,384 = 230,384/x
3. Step 3: Cross multiply
   105,338x = 230,384 × 230,384
4. Step 4: Simplify right side
   105,338x = 53,076,787,456
5. Step 5: Solve for x
   x = 53,076,787,456/105,338
6. Step 6: Final answer
   x = 503,871.23