Finding the Third Proportional to 82,686 and 131,412

Step by Step Solution

1. Step 1: Write the proportion equation
   82,686 : 131,412 = 131,412 : x
2. Step 2: Convert to fraction form
   82,686/131,412 = 131,412/x
3. Step 3: Cross multiply
   82,686x = 131,412 × 131,412
4. Step 4: Simplify right side
   82,686x = 17,269,113,744
5. Step 5: Solve for x
   x = 17,269,113,744/82,686
6. Step 6: Final answer
   x = 208,851.73