Finding the Third Proportional to 82,869 and 131,428

Step by Step Solution

1. Step 1: Write the proportion equation
   82,869 : 131,428 = 131,428 : x
2. Step 2: Convert to fraction form
   82,869/131,428 = 131,428/x
3. Step 3: Cross multiply
   82,869x = 131,428 × 131,428
4. Step 4: Simplify right side
   82,869x = 17,273,319,184
5. Step 5: Solve for x
   x = 17,273,319,184/82,869
6. Step 6: Final answer
   x = 208,441.26