Finding the Third Proportional to 83,024 and 132,096

Step by Step Solution

1. Step 1: Write the proportion equation
   83,024 : 132,096 = 132,096 : x
2. Step 2: Convert to fraction form
   83,024/132,096 = 132,096/x
3. Step 3: Cross multiply
   83,024x = 132,096 × 132,096
4. Step 4: Simplify right side
   83,024x = 17,449,353,216
5. Step 5: Solve for x
   x = 17,449,353,216/83,024
6. Step 6: Final answer
   x = 210,172.40