Finding the Third Proportional to 82,024 and 173,768

Step by Step Solution

1. Step 1: Write the proportion equation
   82,024 : 173,768 = 173,768 : x
2. Step 2: Convert to fraction form
   82,024/173,768 = 173,768/x
3. Step 3: Cross multiply
   82,024x = 173,768 × 173,768
4. Step 4: Simplify right side
   82,024x = 30,195,317,824
5. Step 5: Solve for x
   x = 30,195,317,824/82,024
6. Step 6: Final answer
   x = 368,127.84