Finding the Third Proportional to 82,320 and 170,288

Step by Step Solution

1. Step 1: Write the proportion equation
   82,320 : 170,288 = 170,288 : x
2. Step 2: Convert to fraction form
   82,320/170,288 = 170,288/x
3. Step 3: Cross multiply
   82,320x = 170,288 × 170,288
4. Step 4: Simplify right side
   82,320x = 28,998,002,944
5. Step 5: Solve for x
   x = 28,998,002,944/82,320
6. Step 6: Final answer
   x = 352,259.51