Finding the Third Proportional to 123,591 and 269,834

Step by Step Solution

1. Step 1: Write the proportion equation
   123,591 : 269,834 = 269,834 : x
2. Step 2: Convert to fraction form
   123,591/269,834 = 269,834/x
3. Step 3: Cross multiply
   123,591x = 269,834 × 269,834
4. Step 4: Simplify right side
   123,591x = 72,810,387,556
5. Step 5: Solve for x
   x = 72,810,387,556/123,591
6. Step 6: Final answer
   x = 589,123.70