Finding the Third Proportional to 123,408 and 269,658

Step by Step Solution

1. Step 1: Write the proportion equation
   123,408 : 269,658 = 269,658 : x
2. Step 2: Convert to fraction form
   123,408/269,658 = 269,658/x
3. Step 3: Cross multiply
   123,408x = 269,658 × 269,658
4. Step 4: Simplify right side
   123,408x = 72,715,436,964
5. Step 5: Solve for x
   x = 72,715,436,964/123,408
6. Step 6: Final answer
   x = 589,227.90