Finding the Third Proportional to 144,968 and 294,036

Step by Step Solution

1. Step 1: Write the proportion equation
   144,968 : 294,036 = 294,036 : x
2. Step 2: Convert to fraction form
   144,968/294,036 = 294,036/x
3. Step 3: Cross multiply
   144,968x = 294,036 × 294,036
4. Step 4: Simplify right side
   144,968x = 86,457,169,296
5. Step 5: Solve for x
   x = 86,457,169,296/144,968
6. Step 6: Final answer
   x = 596,387.96