Finding the Third Proportional to 80,884 and 174,920

Step by Step Solution

1. Step 1: Write the proportion equation
   80,884 : 174,920 = 174,920 : x
2. Step 2: Convert to fraction form
   80,884/174,920 = 174,920/x
3. Step 3: Cross multiply
   80,884x = 174,920 × 174,920
4. Step 4: Simplify right side
   80,884x = 30,597,006,400
5. Step 5: Solve for x
   x = 30,597,006,400/80,884
6. Step 6: Final answer
   x = 378,282.56