Finding the Third Proportional to 81,808 and 178,834

Step by Step Solution

1. Step 1: Write the proportion equation
   81,808 : 178,834 = 178,834 : x
2. Step 2: Convert to fraction form
   81,808/178,834 = 178,834/x
3. Step 3: Cross multiply
   81,808x = 178,834 × 178,834
4. Step 4: Simplify right side
   81,808x = 31,981,599,556
5. Step 5: Solve for x
   x = 31,981,599,556/81,808
6. Step 6: Final answer
   x = 390,934.87