Finding the Third Proportional to 144,944 and 208,766

Step by Step Solution

1. Step 1: Write the proportion equation
   144,944 : 208,766 = 208,766 : x
2. Step 2: Convert to fraction form
   144,944/208,766 = 208,766/x
3. Step 3: Cross multiply
   144,944x = 208,766 × 208,766
4. Step 4: Simplify right side
   144,944x = 43,583,242,756
5. Step 5: Solve for x
   x = 43,583,242,756/144,944
6. Step 6: Final answer
   x = 300,690.22