Finding the Third Proportional to 82,606 and 131,291

Step by Step Solution

1. Step 1: Write the proportion equation
   82,606 : 131,291 = 131,291 : x
2. Step 2: Convert to fraction form
   82,606/131,291 = 131,291/x
3. Step 3: Cross multiply
   82,606x = 131,291 × 131,291
4. Step 4: Simplify right side
   82,606x = 17,237,326,681
5. Step 5: Solve for x
   x = 17,237,326,681/82,606
6. Step 6: Final answer
   x = 208,669.18