Finding the Third Proportional to 79,982 and 175,030

Step by Step Solution

1. Step 1: Write the proportion equation
   79,982 : 175,030 = 175,030 : x
2. Step 2: Convert to fraction form
   79,982/175,030 = 175,030/x
3. Step 3: Cross multiply
   79,982x = 175,030 × 175,030
4. Step 4: Simplify right side
   79,982x = 30,635,500,900
5. Step 5: Solve for x
   x = 30,635,500,900/79,982
6. Step 6: Final answer
   x = 383,029.94