Finding the Third Proportional to 127,696 and 259,040

Step by Step Solution

1. Step 1: Write the proportion equation
   127,696 : 259,040 = 259,040 : x
2. Step 2: Convert to fraction form
   127,696/259,040 = 259,040/x
3. Step 3: Cross multiply
   127,696x = 259,040 × 259,040
4. Step 4: Simplify right side
   127,696x = 67,101,721,600
5. Step 5: Solve for x
   x = 67,101,721,600/127,696
6. Step 6: Final answer
   x = 525,480.22