Finding the Third Proportional to 144,613 and 222,417

Step by Step Solution

1. Step 1: Write the proportion equation
   144,613 : 222,417 = 222,417 : x
2. Step 2: Convert to fraction form
   144,613/222,417 = 222,417/x
3. Step 3: Cross multiply
   144,613x = 222,417 × 222,417
4. Step 4: Simplify right side
   144,613x = 49,469,321,889
5. Step 5: Solve for x
   x = 49,469,321,889/144,613
6. Step 6: Final answer
   x = 342,080.74