Finding the Third Proportional to 82,721 and 100,865

Step by Step Solution

1. Step 1: Write the proportion equation
   82,721 : 100,865 = 100,865 : x
2. Step 2: Convert to fraction form
   82,721/100,865 = 100,865/x
3. Step 3: Cross multiply
   82,721x = 100,865 × 100,865
4. Step 4: Simplify right side
   82,721x = 10,173,748,225
5. Step 5: Solve for x
   x = 10,173,748,225/82,721
6. Step 6: Final answer
   x = 122,988.70