Finding the Third Proportional to 169,314 and 259,398

Step by Step Solution

1. Step 1: Write the proportion equation
   169,314 : 259,398 = 259,398 : x
2. Step 2: Convert to fraction form
   169,314/259,398 = 259,398/x
3. Step 3: Cross multiply
   169,314x = 259,398 × 259,398
4. Step 4: Simplify right side
   169,314x = 67,287,322,404
5. Step 5: Solve for x
   x = 67,287,322,404/169,314
6. Step 6: Final answer
   x = 397,411.45