Finding the Third Proportional to 165,980 and 259,334

Step by Step Solution

1. Step 1: Write the proportion equation
   165,980 : 259,334 = 259,334 : x
2. Step 2: Convert to fraction form
   165,980/259,334 = 259,334/x
3. Step 3: Cross multiply
   165,980x = 259,334 × 259,334
4. Step 4: Simplify right side
   165,980x = 67,254,123,556
5. Step 5: Solve for x
   x = 67,254,123,556/165,980
6. Step 6: Final answer
   x = 405,194.14