Finding the Third Proportional to 123,338 and 259,564

Step by Step Solution

1. Step 1: Write the proportion equation
   123,338 : 259,564 = 259,564 : x
2. Step 2: Convert to fraction form
   123,338/259,564 = 259,564/x
3. Step 3: Cross multiply
   123,338x = 259,564 × 259,564
4. Step 4: Simplify right side
   123,338x = 67,373,470,096
5. Step 5: Solve for x
   x = 67,373,470,096/123,338
6. Step 6: Final answer
   x = 546,250.71