Finding the Third Proportional to 82,870 and 131,427

Step by Step Solution

1. Step 1: Write the proportion equation
   82,870 : 131,427 = 131,427 : x
2. Step 2: Convert to fraction form
   82,870/131,427 = 131,427/x
3. Step 3: Cross multiply
   82,870x = 131,427 × 131,427
4. Step 4: Simplify right side
   82,870x = 17,273,056,329
5. Step 5: Solve for x
   x = 17,273,056,329/82,870
6. Step 6: Final answer
   x = 208,435.58