Finding the Third Proportional to 123,759 and 269,738

Step by Step Solution

1. Step 1: Write the proportion equation
   123,759 : 269,738 = 269,738 : x
2. Step 2: Convert to fraction form
   123,759/269,738 = 269,738/x
3. Step 3: Cross multiply
   123,759x = 269,738 × 269,738
4. Step 4: Simplify right side
   123,759x = 72,758,588,644
5. Step 5: Solve for x
   x = 72,758,588,644/123,759
6. Step 6: Final answer
   x = 587,905.43