Finding the Third Proportional to 123,856 and 263,696

Step by Step Solution

1. Step 1: Write the proportion equation
   123,856 : 263,696 = 263,696 : x
2. Step 2: Convert to fraction form
   123,856/263,696 = 263,696/x
3. Step 3: Cross multiply
   123,856x = 263,696 × 263,696
4. Step 4: Simplify right side
   123,856x = 69,535,580,416
5. Step 5: Solve for x
   x = 69,535,580,416/123,856
6. Step 6: Final answer
   x = 561,422.78