Finding the Third Proportional to 105,596 and 230,872

Step by Step Solution

1. Step 1: Write the proportion equation
   105,596 : 230,872 = 230,872 : x
2. Step 2: Convert to fraction form
   105,596/230,872 = 230,872/x
3. Step 3: Cross multiply
   105,596x = 230,872 × 230,872
4. Step 4: Simplify right side
   105,596x = 53,301,880,384
5. Step 5: Solve for x
   x = 53,301,880,384/105,596
6. Step 6: Final answer
   x = 504,771.78