Finding the Third Proportional to 123,974 and 268,549

Step by Step Solution

1. Step 1: Write the proportion equation
   123,974 : 268,549 = 268,549 : x
2. Step 2: Convert to fraction form
   123,974/268,549 = 268,549/x
3. Step 3: Cross multiply
   123,974x = 268,549 × 268,549
4. Step 4: Simplify right side
   123,974x = 72,118,565,401
5. Step 5: Solve for x
   x = 72,118,565,401/123,974
6. Step 6: Final answer
   x = 581,723.31