Finding the Third Proportional to 118,856 and 259,036

Step by Step Solution

1. Step 1: Write the proportion equation
   118,856 : 259,036 = 259,036 : x
2. Step 2: Convert to fraction form
   118,856/259,036 = 259,036/x
3. Step 3: Cross multiply
   118,856x = 259,036 × 259,036
4. Step 4: Simplify right side
   118,856x = 67,099,649,296
5. Step 5: Solve for x
   x = 67,099,649,296/118,856
6. Step 6: Final answer
   x = 564,545.75