Finding the Third Proportional to 105,812 and 144,094

Step by Step Solution

1. Step 1: Write the proportion equation
   105,812 : 144,094 = 144,094 : x
2. Step 2: Convert to fraction form
   105,812/144,094 = 144,094/x
3. Step 3: Cross multiply
   105,812x = 144,094 × 144,094
4. Step 4: Simplify right side
   105,812x = 20,763,080,836
5. Step 5: Solve for x
   x = 20,763,080,836/105,812
6. Step 6: Final answer
   x = 196,226.14