Finding the Third Proportional to 106,142 and 144,227

Step by Step Solution

1. Step 1: Write the proportion equation
   106,142 : 144,227 = 144,227 : x
2. Step 2: Convert to fraction form
   106,142/144,227 = 144,227/x
3. Step 3: Cross multiply
   106,142x = 144,227 × 144,227
4. Step 4: Simplify right side
   106,142x = 20,801,427,529
5. Step 5: Solve for x
   x = 20,801,427,529/106,142
6. Step 6: Final answer
   x = 195,977.35