Finding the Third Proportional to 122,760 and 268,942

Step by Step Solution

1. Step 1: Write the proportion equation
   122,760 : 268,942 = 268,942 : x
2. Step 2: Convert to fraction form
   122,760/268,942 = 268,942/x
3. Step 3: Cross multiply
   122,760x = 268,942 × 268,942
4. Step 4: Simplify right side
   122,760x = 72,329,799,364
5. Step 5: Solve for x
   x = 72,329,799,364/122,760
6. Step 6: Final answer
   x = 589,196.80