Finding the Third Proportional to 82,036 and 126,030

Step by Step Solution

1. Step 1: Write the proportion equation
   82,036 : 126,030 = 126,030 : x
2. Step 2: Convert to fraction form
   82,036/126,030 = 126,030/x
3. Step 3: Cross multiply
   82,036x = 126,030 × 126,030
4. Step 4: Simplify right side
   82,036x = 15,883,560,900
5. Step 5: Solve for x
   x = 15,883,560,900/82,036
6. Step 6: Final answer
   x = 193,616.96