Finding the Third Proportional to 82,711 and 100,855

Step by Step Solution

1. Step 1: Write the proportion equation
   82,711 : 100,855 = 100,855 : x
2. Step 2: Convert to fraction form
   82,711/100,855 = 100,855/x
3. Step 3: Cross multiply
   82,711x = 100,855 × 100,855
4. Step 4: Simplify right side
   82,711x = 10,171,731,025
5. Step 5: Solve for x
   x = 10,171,731,025/82,711
6. Step 6: Final answer
   x = 122,979.18