Finding the Third Proportional to 105,996 and 143,442

Step by Step Solution

1. Step 1: Write the proportion equation
   105,996 : 143,442 = 143,442 : x
2. Step 2: Convert to fraction form
   105,996/143,442 = 143,442/x
3. Step 3: Cross multiply
   105,996x = 143,442 × 143,442
4. Step 4: Simplify right side
   105,996x = 20,575,607,364
5. Step 5: Solve for x
   x = 20,575,607,364/105,996
6. Step 6: Final answer
   x = 194,116.83