Finding the Third Proportional to 72,476 and 160,504

Step by Step Solution

1. Step 1: Write the proportion equation
   72,476 : 160,504 = 160,504 : x
2. Step 2: Convert to fraction form
   72,476/160,504 = 160,504/x
3. Step 3: Cross multiply
   72,476x = 160,504 × 160,504
4. Step 4: Simplify right side
   72,476x = 25,761,534,016
5. Step 5: Solve for x
   x = 25,761,534,016/72,476
6. Step 6: Final answer
   x = 355,449.17