Finding the Third Proportional to 165,676.50 and 259,176

Step by Step Solution

1. Step 1: Write the proportion equation
   165,676.50 : 259,176 = 259,176 : x
2. Step 2: Convert to fraction form
   165,676.50/259,176 = 259,176/x
3. Step 3: Cross multiply
   165,676.50x = 259,176 × 259,176
4. Step 4: Simplify right side
   165,676.50x = 67,172,198,976
5. Step 5: Solve for x
   x = 67,172,198,976/165,676.50
6. Step 6: Final answer
   x = 405,441.92