Finding the Third Proportional to 123,408 and 269,434

Step by Step Solution

1. Step 1: Write the proportion equation
   123,408 : 269,434 = 269,434 : x
2. Step 2: Convert to fraction form
   123,408/269,434 = 269,434/x
3. Step 3: Cross multiply
   123,408x = 269,434 × 269,434
4. Step 4: Simplify right side
   123,408x = 72,594,680,356
5. Step 5: Solve for x
   x = 72,594,680,356/123,408
6. Step 6: Final answer
   x = 588,249.39