Finding the Third Proportional to 123,561 and 269,778

Step by Step Solution

1. Step 1: Write the proportion equation
   123,561 : 269,778 = 269,778 : x
2. Step 2: Convert to fraction form
   123,561/269,778 = 269,778/x
3. Step 3: Cross multiply
   123,561x = 269,778 × 269,778
4. Step 4: Simplify right side
   123,561x = 72,780,169,284
5. Step 5: Solve for x
   x = 72,780,169,284/123,561
6. Step 6: Final answer
   x = 589,022.18