Finding the Third Proportional to 82,701 and 100,845

Step by Step Solution

1. Step 1: Write the proportion equation
   82,701 : 100,845 = 100,845 : x
2. Step 2: Convert to fraction form
   82,701/100,845 = 100,845/x
3. Step 3: Cross multiply
   82,701x = 100,845 × 100,845
4. Step 4: Simplify right side
   82,701x = 10,169,714,025
5. Step 5: Solve for x
   x = 10,169,714,025/82,701
6. Step 6: Final answer
   x = 122,969.66