Finding the Third Proportional to 92,204 and 140,768

Step by Step Solution

1. Step 1: Write the proportion equation
   92,204 : 140,768 = 140,768 : x
2. Step 2: Convert to fraction form
   92,204/140,768 = 140,768/x
3. Step 3: Cross multiply
   92,204x = 140,768 × 140,768
4. Step 4: Simplify right side
   92,204x = 19,815,629,824
5. Step 5: Solve for x
   x = 19,815,629,824/92,204
6. Step 6: Final answer
   x = 214,910.74