Finding the Third Proportional to 105,680 and 230,960

Step by Step Solution

1. Step 1: Write the proportion equation
   105,680 : 230,960 = 230,960 : x
2. Step 2: Convert to fraction form
   105,680/230,960 = 230,960/x
3. Step 3: Cross multiply
   105,680x = 230,960 × 230,960
4. Step 4: Simplify right side
   105,680x = 53,342,521,600
5. Step 5: Solve for x
   x = 53,342,521,600/105,680
6. Step 6: Final answer
   x = 504,755.12