Finding the Third Proportional to 144,128 and 194,016

Step by Step Solution

1. Step 1: Write the proportion equation
   144,128 : 194,016 = 194,016 : x
2. Step 2: Convert to fraction form
   144,128/194,016 = 194,016/x
3. Step 3: Cross multiply
   144,128x = 194,016 × 194,016
4. Step 4: Simplify right side
   144,128x = 37,642,208,256
5. Step 5: Solve for x
   x = 37,642,208,256/144,128
6. Step 6: Final answer
   x = 261,172.07