Finding the Third Proportional to 384,906 and 554,441

Step by Step Solution

1. Step 1: Write the proportion equation
   384,906 : 554,441 = 554,441 : x
2. Step 2: Convert to fraction form
   384,906/554,441 = 554,441/x
3. Step 3: Cross multiply
   384,906x = 554,441 × 554,441
4. Step 4: Simplify right side
   384,906x = 307,404,822,481
5. Step 5: Solve for x
   x = 307,404,822,481/384,906
6. Step 6: Final answer
   x = 798,649.08