Finding the Third Proportional to 123,664 and 269,408

Step by Step Solution

1. Step 1: Write the proportion equation
   123,664 : 269,408 = 269,408 : x
2. Step 2: Convert to fraction form
   123,664/269,408 = 269,408/x
3. Step 3: Cross multiply
   123,664x = 269,408 × 269,408
4. Step 4: Simplify right side
   123,664x = 72,580,670,464
5. Step 5: Solve for x
   x = 72,580,670,464/123,664
6. Step 6: Final answer
   x = 586,918.35