Finding the Third Proportional to 80,636 and 175,268

Step by Step Solution

1. Step 1: Write the proportion equation
   80,636 : 175,268 = 175,268 : x
2. Step 2: Convert to fraction form
   80,636/175,268 = 175,268/x
3. Step 3: Cross multiply
   80,636x = 175,268 × 175,268
4. Step 4: Simplify right side
   80,636x = 30,718,871,824
5. Step 5: Solve for x
   x = 30,718,871,824/80,636
6. Step 6: Final answer
   x = 380,957.29