Finding the Third Proportional to 118,846 and 259,016

Step by Step Solution

1. Step 1: Write the proportion equation
   118,846 : 259,016 = 259,016 : x
2. Step 2: Convert to fraction form
   118,846/259,016 = 259,016/x
3. Step 3: Cross multiply
   118,846x = 259,016 × 259,016
4. Step 4: Simplify right side
   118,846x = 67,089,288,256
5. Step 5: Solve for x
   x = 67,089,288,256/118,846
6. Step 6: Final answer
   x = 564,506.07