Finding the Third Proportional to 127,682 and 259,012

Step by Step Solution

1. Step 1: Write the proportion equation
   127,682 : 259,012 = 259,012 : x
2. Step 2: Convert to fraction form
   127,682/259,012 = 259,012/x
3. Step 3: Cross multiply
   127,682x = 259,012 × 259,012
4. Step 4: Simplify right side
   127,682x = 67,087,216,144
5. Step 5: Solve for x
   x = 67,087,216,144/127,682
6. Step 6: Final answer
   x = 525,424.23