Finding the Third Proportional to 80,832 and 174,570

Step by Step Solution

1. Step 1: Write the proportion equation
   80,832 : 174,570 = 174,570 : x
2. Step 2: Convert to fraction form
   80,832/174,570 = 174,570/x
3. Step 3: Cross multiply
   80,832x = 174,570 × 174,570
4. Step 4: Simplify right side
   80,832x = 30,474,684,900
5. Step 5: Solve for x
   x = 30,474,684,900/80,832
6. Step 6: Final answer
   x = 377,012.63