Finding the Third Proportional to 384,886 and 554,410

Step by Step Solution

1. Step 1: Write the proportion equation
   384,886 : 554,410 = 554,410 : x
2. Step 2: Convert to fraction form
   384,886/554,410 = 554,410/x
3. Step 3: Cross multiply
   384,886x = 554,410 × 554,410
4. Step 4: Simplify right side
   384,886x = 307,370,448,100
5. Step 5: Solve for x
   x = 307,370,448,100/384,886
6. Step 6: Final answer
   x = 798,601.27