Finding the Third Proportional to 82,709 and 100,853

Step by Step Solution

1. Step 1: Write the proportion equation
   82,709 : 100,853 = 100,853 : x
2. Step 2: Convert to fraction form
   82,709/100,853 = 100,853/x
3. Step 3: Cross multiply
   82,709x = 100,853 × 100,853
4. Step 4: Simplify right side
   82,709x = 10,171,327,609
5. Step 5: Solve for x
   x = 10,171,327,609/82,709
6. Step 6: Final answer
   x = 122,977.28