Finding the Third Proportional to 144,301.50 and 256,891.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,301.50 : 256,891.50 = 256,891.50 : x
2. Step 2: Convert to fraction form
   144,301.50/256,891.50 = 256,891.50/x
3. Step 3: Cross multiply
   144,301.50x = 256,891.50 × 256,891.50
4. Step 4: Simplify right side
   144,301.50x = 65,993,242,772.25
5. Step 5: Solve for x
   x = 65,993,242,772.25/144,301.50
6. Step 6: Final answer
   x = 457,328.88