Finding the Third Proportional to 144,942 and 166,814

Step by Step Solution

1. Step 1: Write the proportion equation
   144,942 : 166,814 = 166,814 : x
2. Step 2: Convert to fraction form
   144,942/166,814 = 166,814/x
3. Step 3: Cross multiply
   144,942x = 166,814 × 166,814
4. Step 4: Simplify right side
   144,942x = 27,826,910,596
5. Step 5: Solve for x
   x = 27,826,910,596/144,942
6. Step 6: Final answer
   x = 191,986.52