Finding the Third Proportional to 82,801 and 131,204

Step by Step Solution

1. Step 1: Write the proportion equation
   82,801 : 131,204 = 131,204 : x
2. Step 2: Convert to fraction form
   82,801/131,204 = 131,204/x
3. Step 3: Cross multiply
   82,801x = 131,204 × 131,204
4. Step 4: Simplify right side
   82,801x = 17,214,489,616
5. Step 5: Solve for x
   x = 17,214,489,616/82,801
6. Step 6: Final answer
   x = 207,901.95