Finding the Third Proportional to 144,962 and 294,022

Step by Step Solution

1. Step 1: Write the proportion equation
   144,962 : 294,022 = 294,022 : x
2. Step 2: Convert to fraction form
   144,962/294,022 = 294,022/x
3. Step 3: Cross multiply
   144,962x = 294,022 × 294,022
4. Step 4: Simplify right side
   144,962x = 86,448,936,484
5. Step 5: Solve for x
   x = 86,448,936,484/144,962
6. Step 6: Final answer
   x = 596,355.85