Finding the Third Proportional to 127,689 and 259,026

Step by Step Solution

1. Step 1: Write the proportion equation
   127,689 : 259,026 = 259,026 : x
2. Step 2: Convert to fraction form
   127,689/259,026 = 259,026/x
3. Step 3: Cross multiply
   127,689x = 259,026 × 259,026
4. Step 4: Simplify right side
   127,689x = 67,094,468,676
5. Step 5: Solve for x
   x = 67,094,468,676/127,689
6. Step 6: Final answer
   x = 525,452.22