Finding the Third Proportional to 82,779 and 175,419

Step by Step Solution

1. Step 1: Write the proportion equation
   82,779 : 175,419 = 175,419 : x
2. Step 2: Convert to fraction form
   82,779/175,419 = 175,419/x
3. Step 3: Cross multiply
   82,779x = 175,419 × 175,419
4. Step 4: Simplify right side
   82,779x = 30,771,825,561
5. Step 5: Solve for x
   x = 30,771,825,561/82,779
6. Step 6: Final answer
   x = 371,734.69