Finding the Third Proportional to 82,857 and 131,410

Step by Step Solution

1. Step 1: Write the proportion equation
   82,857 : 131,410 = 131,410 : x
2. Step 2: Convert to fraction form
   82,857/131,410 = 131,410/x
3. Step 3: Cross multiply
   82,857x = 131,410 × 131,410
4. Step 4: Simplify right side
   82,857x = 17,268,588,100
5. Step 5: Solve for x
   x = 17,268,588,100/82,857
6. Step 6: Final answer
   x = 208,414.35