Finding the Third Proportional to 144,963 and 294,002

Step by Step Solution

1. Step 1: Write the proportion equation
   144,963 : 294,002 = 294,002 : x
2. Step 2: Convert to fraction form
   144,963/294,002 = 294,002/x
3. Step 3: Cross multiply
   144,963x = 294,002 × 294,002
4. Step 4: Simplify right side
   144,963x = 86,437,176,004
5. Step 5: Solve for x
   x = 86,437,176,004/144,963
6. Step 6: Final answer
   x = 596,270.61