Finding the Third Proportional to 118,638 and 259,162

Step by Step Solution

1. Step 1: Write the proportion equation
   118,638 : 259,162 = 259,162 : x
2. Step 2: Convert to fraction form
   118,638/259,162 = 259,162/x
3. Step 3: Cross multiply
   118,638x = 259,162 × 259,162
4. Step 4: Simplify right side
   118,638x = 67,164,942,244
5. Step 5: Solve for x
   x = 67,164,942,244/118,638
6. Step 6: Final answer
   x = 566,133.47