Finding the Third Proportional to 254,362 and 404,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,362 : 404,896.50 = 404,896.50 : x
2. Step 2: Convert to fraction form
   254,362/404,896.50 = 404,896.50/x
3. Step 3: Cross multiply
   254,362x = 404,896.50 × 404,896.50
4. Step 4: Simplify right side
   254,362x = 163,941,175,712.25
5. Step 5: Solve for x
   x = 163,941,175,712.25/254,362
6. Step 6: Final answer
   x = 644,519.13