Finding the Third Proportional to 144,105 and 295,338

Step by Step Solution

1. Step 1: Write the proportion equation
   144,105 : 295,338 = 295,338 : x
2. Step 2: Convert to fraction form
   144,105/295,338 = 295,338/x
3. Step 3: Cross multiply
   144,105x = 295,338 × 295,338
4. Step 4: Simplify right side
   144,105x = 87,224,534,244
5. Step 5: Solve for x
   x = 87,224,534,244/144,105
6. Step 6: Final answer
   x = 605,284.58