Finding the Third Proportional to 72,509 and 160,570

Step by Step Solution

1. Step 1: Write the proportion equation
   72,509 : 160,570 = 160,570 : x
2. Step 2: Convert to fraction form
   72,509/160,570 = 160,570/x
3. Step 3: Cross multiply
   72,509x = 160,570 × 160,570
4. Step 4: Simplify right side
   72,509x = 25,782,724,900
5. Step 5: Solve for x
   x = 25,782,724,900/72,509
6. Step 6: Final answer
   x = 355,579.65