Finding the Third Proportional to 123,704 and 269,872

Step by Step Solution

1. Step 1: Write the proportion equation
   123,704 : 269,872 = 269,872 : x
2. Step 2: Convert to fraction form
   123,704/269,872 = 269,872/x
3. Step 3: Cross multiply
   123,704x = 269,872 × 269,872
4. Step 4: Simplify right side
   123,704x = 72,830,896,384
5. Step 5: Solve for x
   x = 72,830,896,384/123,704
6. Step 6: Final answer
   x = 588,751.35