Finding the Third Proportional to 82,712 and 100,856

Step by Step Solution

1. Step 1: Write the proportion equation
   82,712 : 100,856 = 100,856 : x
2. Step 2: Convert to fraction form
   82,712/100,856 = 100,856/x
3. Step 3: Cross multiply
   82,712x = 100,856 × 100,856
4. Step 4: Simplify right side
   82,712x = 10,171,932,736
5. Step 5: Solve for x
   x = 10,171,932,736/82,712
6. Step 6: Final answer
   x = 122,980.13