Finding the Third Proportional to 117,105 and 175,338

Step by Step Solution

1. Step 1: Write the proportion equation
   117,105 : 175,338 = 175,338 : x
2. Step 2: Convert to fraction form
   117,105/175,338 = 175,338/x
3. Step 3: Cross multiply
   117,105x = 175,338 × 175,338
4. Step 4: Simplify right side
   117,105x = 30,743,414,244
5. Step 5: Solve for x
   x = 30,743,414,244/117,105
6. Step 6: Final answer
   x = 262,528.62