Finding the Third Proportional to 123,576 and 269,805

Step by Step Solution

1. Step 1: Write the proportion equation
   123,576 : 269,805 = 269,805 : x
2. Step 2: Convert to fraction form
   123,576/269,805 = 269,805/x
3. Step 3: Cross multiply
   123,576x = 269,805 × 269,805
4. Step 4: Simplify right side
   123,576x = 72,794,738,025
5. Step 5: Solve for x
   x = 72,794,738,025/123,576
6. Step 6: Final answer
   x = 589,068.57