Finding the Third Proportional to 80,833 and 175,656

Step by Step Solution

1. Step 1: Write the proportion equation
   80,833 : 175,656 = 175,656 : x
2. Step 2: Convert to fraction form
   80,833/175,656 = 175,656/x
3. Step 3: Cross multiply
   80,833x = 175,656 × 175,656
4. Step 4: Simplify right side
   80,833x = 30,855,030,336
5. Step 5: Solve for x
   x = 30,855,030,336/80,833
6. Step 6: Final answer
   x = 381,713.29