Finding the Third Proportional to 123,206 and 263,908

Step by Step Solution

1. Step 1: Write the proportion equation
   123,206 : 263,908 = 263,908 : x
2. Step 2: Convert to fraction form
   123,206/263,908 = 263,908/x
3. Step 3: Cross multiply
   123,206x = 263,908 × 263,908
4. Step 4: Simplify right side
   123,206x = 69,647,432,464
5. Step 5: Solve for x
   x = 69,647,432,464/123,206
6. Step 6: Final answer
   x = 565,292.54