Finding the Third Proportional to 144,966 and 294,030

Step by Step Solution

1. Step 1: Write the proportion equation
   144,966 : 294,030 = 294,030 : x
2. Step 2: Convert to fraction form
   144,966/294,030 = 294,030/x
3. Step 3: Cross multiply
   144,966x = 294,030 × 294,030
4. Step 4: Simplify right side
   144,966x = 86,453,640,900
5. Step 5: Solve for x
   x = 86,453,640,900/144,966
6. Step 6: Final answer
   x = 596,371.85