Finding the Third Proportional to 83,021 and 116,496

Step by Step Solution

1. Step 1: Write the proportion equation
   83,021 : 116,496 = 116,496 : x
2. Step 2: Convert to fraction form
   83,021/116,496 = 116,496/x
3. Step 3: Cross multiply
   83,021x = 116,496 × 116,496
4. Step 4: Simplify right side
   83,021x = 13,571,318,016
5. Step 5: Solve for x
   x = 13,571,318,016/83,021
6. Step 6: Final answer
   x = 163,468.50