Finding the Third Proportional to 82,714 and 100,858

Step by Step Solution

1. Step 1: Write the proportion equation
   82,714 : 100,858 = 100,858 : x
2. Step 2: Convert to fraction form
   82,714/100,858 = 100,858/x
3. Step 3: Cross multiply
   82,714x = 100,858 × 100,858
4. Step 4: Simplify right side
   82,714x = 10,172,336,164
5. Step 5: Solve for x
   x = 10,172,336,164/82,714
6. Step 6: Final answer
   x = 122,982.04