Finding the Third Proportional to 72,456 and 160,448

Step by Step Solution

1. Step 1: Write the proportion equation
   72,456 : 160,448 = 160,448 : x
2. Step 2: Convert to fraction form
   72,456/160,448 = 160,448/x
3. Step 3: Cross multiply
   72,456x = 160,448 × 160,448
4. Step 4: Simplify right side
   72,456x = 25,743,560,704
5. Step 5: Solve for x
   x = 25,743,560,704/72,456
6. Step 6: Final answer
   x = 355,299.23