Finding the Third Proportional to 165,960 and 259,308

Step by Step Solution

1. Step 1: Write the proportion equation
   165,960 : 259,308 = 259,308 : x
2. Step 2: Convert to fraction form
   165,960/259,308 = 259,308/x
3. Step 3: Cross multiply
   165,960x = 259,308 × 259,308
4. Step 4: Simplify right side
   165,960x = 67,240,638,864
5. Step 5: Solve for x
   x = 67,240,638,864/165,960
6. Step 6: Final answer
   x = 405,161.72