Finding the Third Proportional to 105,801 and 143,529

Step by Step Solution

1. Step 1: Write the proportion equation
   105,801 : 143,529 = 143,529 : x
2. Step 2: Convert to fraction form
   105,801/143,529 = 143,529/x
3. Step 3: Cross multiply
   105,801x = 143,529 × 143,529
4. Step 4: Simplify right side
   105,801x = 20,600,573,841
5. Step 5: Solve for x
   x = 20,600,573,841/105,801
6. Step 6: Final answer
   x = 194,710.58