Finding the Third Proportional to 80,496 and 174,834

Step by Step Solution

1. Step 1: Write the proportion equation
   80,496 : 174,834 = 174,834 : x
2. Step 2: Convert to fraction form
   80,496/174,834 = 174,834/x
3. Step 3: Cross multiply
   80,496x = 174,834 × 174,834
4. Step 4: Simplify right side
   80,496x = 30,566,927,556
5. Step 5: Solve for x
   x = 30,566,927,556/80,496
6. Step 6: Final answer
   x = 379,732.25