Finding the Third Proportional to 80,880 and 175,503

Step by Step Solution

1. Step 1: Write the proportion equation
   80,880 : 175,503 = 175,503 : x
2. Step 2: Convert to fraction form
   80,880/175,503 = 175,503/x
3. Step 3: Cross multiply
   80,880x = 175,503 × 175,503
4. Step 4: Simplify right side
   80,880x = 30,801,303,009
5. Step 5: Solve for x
   x = 30,801,303,009/80,880
6. Step 6: Final answer
   x = 380,827.19