Finding the Third Proportional to 144,966 and 294,007

Step by Step Solution

1. Step 1: Write the proportion equation
   144,966 : 294,007 = 294,007 : x
2. Step 2: Convert to fraction form
   144,966/294,007 = 294,007/x
3. Step 3: Cross multiply
   144,966x = 294,007 × 294,007
4. Step 4: Simplify right side
   144,966x = 86,440,116,049
5. Step 5: Solve for x
   x = 86,440,116,049/144,966
6. Step 6: Final answer
   x = 596,278.55