Finding the Third Proportional to 123,706 and 269,876

Step by Step Solution

1. Step 1: Write the proportion equation
   123,706 : 269,876 = 269,876 : x
2. Step 2: Convert to fraction form
   123,706/269,876 = 269,876/x
3. Step 3: Cross multiply
   123,706x = 269,876 × 269,876
4. Step 4: Simplify right side
   123,706x = 72,833,055,376
5. Step 5: Solve for x
   x = 72,833,055,376/123,706
6. Step 6: Final answer
   x = 588,759.28