Finding the Third Proportional to 79,902 and 175,356

Step by Step Solution

1. Step 1: Write the proportion equation
   79,902 : 175,356 = 175,356 : x
2. Step 2: Convert to fraction form
   79,902/175,356 = 175,356/x
3. Step 3: Cross multiply
   79,902x = 175,356 × 175,356
4. Step 4: Simplify right side
   79,902x = 30,749,726,736
5. Step 5: Solve for x
   x = 30,749,726,736/79,902
6. Step 6: Final answer
   x = 384,843.02