Finding the Third Proportional to 105,780 and 230,856

Step by Step Solution

1. Step 1: Write the proportion equation
   105,780 : 230,856 = 230,856 : x
2. Step 2: Convert to fraction form
   105,780/230,856 = 230,856/x
3. Step 3: Cross multiply
   105,780x = 230,856 × 230,856
4. Step 4: Simplify right side
   105,780x = 53,294,492,736
5. Step 5: Solve for x
   x = 53,294,492,736/105,780
6. Step 6: Final answer
   x = 503,823.91