Finding the Third Proportional to 384,144 and 563,758

Step by Step Solution

1. Step 1: Write the proportion equation
   384,144 : 563,758 = 563,758 : x
2. Step 2: Convert to fraction form
   384,144/563,758 = 563,758/x
3. Step 3: Cross multiply
   384,144x = 563,758 × 563,758
4. Step 4: Simplify right side
   384,144x = 317,823,082,564
5. Step 5: Solve for x
   x = 317,823,082,564/384,144
6. Step 6: Final answer
   x = 827,354.02