Finding the Third Proportional to 82,688 and 174,720

Step by Step Solution

1. Step 1: Write the proportion equation
   82,688 : 174,720 = 174,720 : x
2. Step 2: Convert to fraction form
   82,688/174,720 = 174,720/x
3. Step 3: Cross multiply
   82,688x = 174,720 × 174,720
4. Step 4: Simplify right side
   82,688x = 30,527,078,400
5. Step 5: Solve for x
   x = 30,527,078,400/82,688
6. Step 6: Final answer
   x = 369,183.90