Finding the Third Proportional to 123,708 and 269,880

Step by Step Solution

1. Step 1: Write the proportion equation
   123,708 : 269,880 = 269,880 : x
2. Step 2: Convert to fraction form
   123,708/269,880 = 269,880/x
3. Step 3: Cross multiply
   123,708x = 269,880 × 269,880
4. Step 4: Simplify right side
   123,708x = 72,835,214,400
5. Step 5: Solve for x
   x = 72,835,214,400/123,708
6. Step 6: Final answer
   x = 588,767.21