Finding the Third Proportional to 82,846 and 128,580

Step by Step Solution

1. Step 1: Write the proportion equation
   82,846 : 128,580 = 128,580 : x
2. Step 2: Convert to fraction form
   82,846/128,580 = 128,580/x
3. Step 3: Cross multiply
   82,846x = 128,580 × 128,580
4. Step 4: Simplify right side
   82,846x = 16,532,816,400
5. Step 5: Solve for x
   x = 16,532,816,400/82,846
6. Step 6: Final answer
   x = 199,560.83