Finding the Third Proportional to 123,696 and 269,856

Step by Step Solution

1. Step 1: Write the proportion equation
   123,696 : 269,856 = 269,856 : x
2. Step 2: Convert to fraction form
   123,696/269,856 = 269,856/x
3. Step 3: Cross multiply
   123,696x = 269,856 × 269,856
4. Step 4: Simplify right side
   123,696x = 72,822,260,736
5. Step 5: Solve for x
   x = 72,822,260,736/123,696
6. Step 6: Final answer
   x = 588,719.61