Finding the Third Proportional to 127,694 and 259,036

Step by Step Solution

1. Step 1: Write the proportion equation
   127,694 : 259,036 = 259,036 : x
2. Step 2: Convert to fraction form
   127,694/259,036 = 259,036/x
3. Step 3: Cross multiply
   127,694x = 259,036 × 259,036
4. Step 4: Simplify right side
   127,694x = 67,099,649,296
5. Step 5: Solve for x
   x = 67,099,649,296/127,694
6. Step 6: Final answer
   x = 525,472.22