Finding the Third Proportional to 144,464 and 191,736

Step by Step Solution

1. Step 1: Write the proportion equation
   144,464 : 191,736 = 191,736 : x
2. Step 2: Convert to fraction form
   144,464/191,736 = 191,736/x
3. Step 3: Cross multiply
   144,464x = 191,736 × 191,736
4. Step 4: Simplify right side
   144,464x = 36,762,693,696
5. Step 5: Solve for x
   x = 36,762,693,696/144,464
6. Step 6: Final answer
   x = 254,476.50