Finding the Third Proportional to 82,510 and 128,694

Step by Step Solution

1. Step 1: Write the proportion equation
   82,510 : 128,694 = 128,694 : x
2. Step 2: Convert to fraction form
   82,510/128,694 = 128,694/x
3. Step 3: Cross multiply
   82,510x = 128,694 × 128,694
4. Step 4: Simplify right side
   82,510x = 16,562,145,636
5. Step 5: Solve for x
   x = 16,562,145,636/82,510
6. Step 6: Final answer
   x = 200,728.95