Finding the Third Proportional to 124,560 and 269,856

Step by Step Solution

1. Step 1: Write the proportion equation
   124,560 : 269,856 = 269,856 : x
2. Step 2: Convert to fraction form
   124,560/269,856 = 269,856/x
3. Step 3: Cross multiply
   124,560x = 269,856 × 269,856
4. Step 4: Simplify right side
   124,560x = 72,822,260,736
5. Step 5: Solve for x
   x = 72,822,260,736/124,560
6. Step 6: Final answer
   x = 584,636.00