Finding the Third Proportional to 105,960 and 146,898

Step by Step Solution

1. Step 1: Write the proportion equation
   105,960 : 146,898 = 146,898 : x
2. Step 2: Convert to fraction form
   105,960/146,898 = 146,898/x
3. Step 3: Cross multiply
   105,960x = 146,898 × 146,898
4. Step 4: Simplify right side
   105,960x = 21,579,022,404
5. Step 5: Solve for x
   x = 21,579,022,404/105,960
6. Step 6: Final answer
   x = 203,652.53