Finding the Third Proportional to 123,559 and 269,774

Step by Step Solution

1. Step 1: Write the proportion equation
   123,559 : 269,774 = 269,774 : x
2. Step 2: Convert to fraction form
   123,559/269,774 = 269,774/x
3. Step 3: Cross multiply
   123,559x = 269,774 × 269,774
4. Step 4: Simplify right side
   123,559x = 72,778,011,076
5. Step 5: Solve for x
   x = 72,778,011,076/123,559
6. Step 6: Final answer
   x = 589,014.24