Finding the Third Proportional to 82,884 and 131,449

Step by Step Solution

1. Step 1: Write the proportion equation
   82,884 : 131,449 = 131,449 : x
2. Step 2: Convert to fraction form
   82,884/131,449 = 131,449/x
3. Step 3: Cross multiply
   82,884x = 131,449 × 131,449
4. Step 4: Simplify right side
   82,884x = 17,278,839,601
5. Step 5: Solve for x
   x = 17,278,839,601/82,884
6. Step 6: Final answer
   x = 208,470.15