Finding the Third Proportional to 80,829 and 175,648

Step by Step Solution

1. Step 1: Write the proportion equation
   80,829 : 175,648 = 175,648 : x
2. Step 2: Convert to fraction form
   80,829/175,648 = 175,648/x
3. Step 3: Cross multiply
   80,829x = 175,648 × 175,648
4. Step 4: Simplify right side
   80,829x = 30,852,219,904
5. Step 5: Solve for x
   x = 30,852,219,904/80,829
6. Step 6: Final answer
   x = 381,697.41