Finding the Third Proportional to 82,030 and 126,507

Step by Step Solution

1. Step 1: Write the proportion equation
   82,030 : 126,507 = 126,507 : x
2. Step 2: Convert to fraction form
   82,030/126,507 = 126,507/x
3. Step 3: Cross multiply
   82,030x = 126,507 × 126,507
4. Step 4: Simplify right side
   82,030x = 16,004,021,049
5. Step 5: Solve for x
   x = 16,004,021,049/82,030
6. Step 6: Final answer
   x = 195,099.61