Finding the Third Proportional to 105,280 and 230,960

Step by Step Solution

1. Step 1: Write the proportion equation
   105,280 : 230,960 = 230,960 : x
2. Step 2: Convert to fraction form
   105,280/230,960 = 230,960/x
3. Step 3: Cross multiply
   105,280x = 230,960 × 230,960
4. Step 4: Simplify right side
   105,280x = 53,342,521,600
5. Step 5: Solve for x
   x = 53,342,521,600/105,280
6. Step 6: Final answer
   x = 506,672.89