Finding the Third Proportional to 83,024 and 128,760

Step by Step Solution

1. Step 1: Write the proportion equation
   83,024 : 128,760 = 128,760 : x
2. Step 2: Convert to fraction form
   83,024/128,760 = 128,760/x
3. Step 3: Cross multiply
   83,024x = 128,760 × 128,760
4. Step 4: Simplify right side
   83,024x = 16,579,137,600
5. Step 5: Solve for x
   x = 16,579,137,600/83,024
6. Step 6: Final answer
   x = 199,690.90