Finding the Third Proportional to 123,688 and 269,456

Step by Step Solution

1. Step 1: Write the proportion equation
   123,688 : 269,456 = 269,456 : x
2. Step 2: Convert to fraction form
   123,688/269,456 = 269,456/x
3. Step 3: Cross multiply
   123,688x = 269,456 × 269,456
4. Step 4: Simplify right side
   123,688x = 72,606,535,936
5. Step 5: Solve for x
   x = 72,606,535,936/123,688
6. Step 6: Final answer
   x = 587,013.58