Finding the Third Proportional to 122,726 and 268,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,726 : 268,874.50 = 268,874.50 : x
2. Step 2: Convert to fraction form
   122,726/268,874.50 = 268,874.50/x
3. Step 3: Cross multiply
   122,726x = 268,874.50 × 268,874.50
4. Step 4: Simplify right side
   122,726x = 72,293,496,750.25
5. Step 5: Solve for x
   x = 72,293,496,750.25/122,726
6. Step 6: Final answer
   x = 589,064.23