Finding the Third Proportional to 105,714 and 144,961

Step by Step Solution

1. Step 1: Write the proportion equation
   105,714 : 144,961 = 144,961 : x
2. Step 2: Convert to fraction form
   105,714/144,961 = 144,961/x
3. Step 3: Cross multiply
   105,714x = 144,961 × 144,961
4. Step 4: Simplify right side
   105,714x = 21,013,691,521
5. Step 5: Solve for x
   x = 21,013,691,521/105,714
6. Step 6: Final answer
   x = 198,778.70