Finding the Third Proportional to 80,834 and 175,658

Step by Step Solution

1. Step 1: Write the proportion equation
   80,834 : 175,658 = 175,658 : x
2. Step 2: Convert to fraction form
   80,834/175,658 = 175,658/x
3. Step 3: Cross multiply
   80,834x = 175,658 × 175,658
4. Step 4: Simplify right side
   80,834x = 30,855,732,964
5. Step 5: Solve for x
   x = 30,855,732,964/80,834
6. Step 6: Final answer
   x = 381,717.26