Finding the Third Proportional to 394,688 and 601,856

Step by Step Solution

1. Step 1: Write the proportion equation
   394,688 : 601,856 = 601,856 : x
2. Step 2: Convert to fraction form
   394,688/601,856 = 601,856/x
3. Step 3: Cross multiply
   394,688x = 601,856 × 601,856
4. Step 4: Simplify right side
   394,688x = 362,230,644,736
5. Step 5: Solve for x
   x = 362,230,644,736/394,688
6. Step 6: Final answer
   x = 917,764.52