Finding the Third Proportional to 254,361.50 and 404,891.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,361.50 : 404,891.50 = 404,891.50 : x
2. Step 2: Convert to fraction form
   254,361.50/404,891.50 = 404,891.50/x
3. Step 3: Cross multiply
   254,361.50x = 404,891.50 × 404,891.50
4. Step 4: Simplify right side
   254,361.50x = 163,937,126,772.25
5. Step 5: Solve for x
   x = 163,937,126,772.25/254,361.50
6. Step 6: Final answer
   x = 644,504.48