Finding the Third Proportional to 82,871 and 131,429

Step by Step Solution

1. Step 1: Write the proportion equation
   82,871 : 131,429 = 131,429 : x
2. Step 2: Convert to fraction form
   82,871/131,429 = 131,429/x
3. Step 3: Cross multiply
   82,871x = 131,429 × 131,429
4. Step 4: Simplify right side
   82,871x = 17,273,582,041
5. Step 5: Solve for x
   x = 17,273,582,041/82,871
6. Step 6: Final answer
   x = 208,439.41