Finding the Third Proportional to 384,208 and 563,856

Step by Step Solution

1. Step 1: Write the proportion equation
   384,208 : 563,856 = 563,856 : x
2. Step 2: Convert to fraction form
   384,208/563,856 = 563,856/x
3. Step 3: Cross multiply
   384,208x = 563,856 × 563,856
4. Step 4: Simplify right side
   384,208x = 317,933,588,736
5. Step 5: Solve for x
   x = 317,933,588,736/384,208
6. Step 6: Final answer
   x = 827,503.82