Finding the Third Proportional to 80,616 and 175,570

Step by Step Solution

1. Step 1: Write the proportion equation
   80,616 : 175,570 = 175,570 : x
2. Step 2: Convert to fraction form
   80,616/175,570 = 175,570/x
3. Step 3: Cross multiply
   80,616x = 175,570 × 175,570
4. Step 4: Simplify right side
   80,616x = 30,824,824,900
5. Step 5: Solve for x
   x = 30,824,824,900/80,616
6. Step 6: Final answer
   x = 382,366.09