Finding the Third Proportional to 144,963.75 and 294,003.25

Step by Step Solution

1. Step 1: Write the proportion equation
   144,963.75 : 294,003.25 = 294,003.25 : x
2. Step 2: Convert to fraction form
   144,963.75/294,003.25 = 294,003.25/x
3. Step 3: Cross multiply
   144,963.75x = 294,003.25 × 294,003.25
4. Step 4: Simplify right side
   144,963.75x = 86,437,911,010.56
5. Step 5: Solve for x
   x = 86,437,911,010.56/144,963.75
6. Step 6: Final answer
   x = 596,272.59