Finding the Third Proportional to 144,966 and 294,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,966 : 294,010.50 = 294,010.50 : x
2. Step 2: Convert to fraction form
   144,966/294,010.50 = 294,010.50/x
3. Step 3: Cross multiply
   144,966x = 294,010.50 × 294,010.50
4. Step 4: Simplify right side
   144,966x = 86,442,174,110.25
5. Step 5: Solve for x
   x = 86,442,174,110.25/144,966
6. Step 6: Final answer
   x = 596,292.75