Finding the Third Proportional to 82,611 and 131,298

Step by Step Solution

1. Step 1: Write the proportion equation
   82,611 : 131,298 = 131,298 : x
2. Step 2: Convert to fraction form
   82,611/131,298 = 131,298/x
3. Step 3: Cross multiply
   82,611x = 131,298 × 131,298
4. Step 4: Simplify right side
   82,611x = 17,239,164,804
5. Step 5: Solve for x
   x = 17,239,164,804/82,611
6. Step 6: Final answer
   x = 208,678.81