Finding the Third Proportional to 394,916 and 562,834

Step by Step Solution

1. Step 1: Write the proportion equation
   394,916 : 562,834 = 562,834 : x
2. Step 2: Convert to fraction form
   394,916/562,834 = 562,834/x
3. Step 3: Cross multiply
   394,916x = 562,834 × 562,834
4. Step 4: Simplify right side
   394,916x = 316,782,111,556
5. Step 5: Solve for x
   x = 316,782,111,556/394,916
6. Step 6: Final answer
   x = 802,150.61