Finding the Third Proportional to 80,492 and 175,942

Step by Step Solution

1. Step 1: Write the proportion equation
   80,492 : 175,942 = 175,942 : x
2. Step 2: Convert to fraction form
   80,492/175,942 = 175,942/x
3. Step 3: Cross multiply
   80,492x = 175,942 × 175,942
4. Step 4: Simplify right side
   80,492x = 30,955,587,364
5. Step 5: Solve for x
   x = 30,955,587,364/80,492
6. Step 6: Final answer
   x = 384,579.68