Finding the Third Proportional to 83,019 and 116,493

Step by Step Solution

1. Step 1: Write the proportion equation
   83,019 : 116,493 = 116,493 : x
2. Step 2: Convert to fraction form
   83,019/116,493 = 116,493/x
3. Step 3: Cross multiply
   83,019x = 116,493 × 116,493
4. Step 4: Simplify right side
   83,019x = 13,570,619,049
5. Step 5: Solve for x
   x = 13,570,619,049/83,019
6. Step 6: Final answer
   x = 163,464.01