Finding the Third Proportional to 82,568 and 175,792

Step by Step Solution

1. Step 1: Write the proportion equation
   82,568 : 175,792 = 175,792 : x
2. Step 2: Convert to fraction form
   82,568/175,792 = 175,792/x
3. Step 3: Cross multiply
   82,568x = 175,792 × 175,792
4. Step 4: Simplify right side
   82,568x = 30,902,827,264
5. Step 5: Solve for x
   x = 30,902,827,264/82,568
6. Step 6: Final answer
   x = 374,271.23