Finding the Third Proportional to 123,761 and 269,742

Step by Step Solution

1. Step 1: Write the proportion equation
   123,761 : 269,742 = 269,742 : x
2. Step 2: Convert to fraction form
   123,761/269,742 = 269,742/x
3. Step 3: Cross multiply
   123,761x = 269,742 × 269,742
4. Step 4: Simplify right side
   123,761x = 72,760,746,564
5. Step 5: Solve for x
   x = 72,760,746,564/123,761
6. Step 6: Final answer
   x = 587,913.37