Finding the Third Proportional to 80,021 and 116,742

Step by Step Solution

1. Step 1: Write the proportion equation
   80,021 : 116,742 = 116,742 : x
2. Step 2: Convert to fraction form
   80,021/116,742 = 116,742/x
3. Step 3: Cross multiply
   80,021x = 116,742 × 116,742
4. Step 4: Simplify right side
   80,021x = 13,628,694,564
5. Step 5: Solve for x
   x = 13,628,694,564/80,021
6. Step 6: Final answer
   x = 170,313.97