Finding the Third Proportional to 105,797 and 143,523

Step by Step Solution

1. Step 1: Write the proportion equation
   105,797 : 143,523 = 143,523 : x
2. Step 2: Convert to fraction form
   105,797/143,523 = 143,523/x
3. Step 3: Cross multiply
   105,797x = 143,523 × 143,523
4. Step 4: Simplify right side
   105,797x = 20,598,851,529
5. Step 5: Solve for x
   x = 20,598,851,529/105,797
6. Step 6: Final answer
   x = 194,701.66