Finding the Third Proportional to 127,680 and 259,008

Step by Step Solution

1. Step 1: Write the proportion equation
   127,680 : 259,008 = 259,008 : x
2. Step 2: Convert to fraction form
   127,680/259,008 = 259,008/x
3. Step 3: Cross multiply
   127,680x = 259,008 × 259,008
4. Step 4: Simplify right side
   127,680x = 67,085,144,064
5. Step 5: Solve for x
   x = 67,085,144,064/127,680
6. Step 6: Final answer
   x = 525,416.23