Finding the Third Proportional to 83,000 and 131,966

Step by Step Solution

1. Step 1: Write the proportion equation
   83,000 : 131,966 = 131,966 : x
2. Step 2: Convert to fraction form
   83,000/131,966 = 131,966/x
3. Step 3: Cross multiply
   83,000x = 131,966 × 131,966
4. Step 4: Simplify right side
   83,000x = 17,415,025,156
5. Step 5: Solve for x
   x = 17,415,025,156/83,000
6. Step 6: Final answer
   x = 209,819.58