Finding the Third Proportional to 82,873 and 131,434

Step by Step Solution

1. Step 1: Write the proportion equation
   82,873 : 131,434 = 131,434 : x
2. Step 2: Convert to fraction form
   82,873/131,434 = 131,434/x
3. Step 3: Cross multiply
   82,873x = 131,434 × 131,434
4. Step 4: Simplify right side
   82,873x = 17,274,896,356
5. Step 5: Solve for x
   x = 17,274,896,356/82,873
6. Step 6: Final answer
   x = 208,450.24