Finding the Third Proportional to 83,024 and 171,956

Step by Step Solution

1. Step 1: Write the proportion equation
   83,024 : 171,956 = 171,956 : x
2. Step 2: Convert to fraction form
   83,024/171,956 = 171,956/x
3. Step 3: Cross multiply
   83,024x = 171,956 × 171,956
4. Step 4: Simplify right side
   83,024x = 29,568,865,936
5. Step 5: Solve for x
   x = 29,568,865,936/83,024
6. Step 6: Final answer
   x = 356,148.41