Finding the Third Proportional to 80,424 and 175,760

Step by Step Solution

1. Step 1: Write the proportion equation
   80,424 : 175,760 = 175,760 : x
2. Step 2: Convert to fraction form
   80,424/175,760 = 175,760/x
3. Step 3: Cross multiply
   80,424x = 175,760 × 175,760
4. Step 4: Simplify right side
   80,424x = 30,891,577,600
5. Step 5: Solve for x
   x = 30,891,577,600/80,424
6. Step 6: Final answer
   x = 384,108.94