Finding the Third Proportional to 83,721 and 117,105

Step by Step Solution

1. Step 1: Write the proportion equation
   83,721 : 117,105 = 117,105 : x
2. Step 2: Convert to fraction form
   83,721/117,105 = 117,105/x
3. Step 3: Cross multiply
   83,721x = 117,105 × 117,105
4. Step 4: Simplify right side
   83,721x = 13,713,581,025
5. Step 5: Solve for x
   x = 13,713,581,025/83,721
6. Step 6: Final answer
   x = 163,800.97