Finding the Third Proportional to 105,824 and 143,562

Step by Step Solution

1. Step 1: Write the proportion equation
   105,824 : 143,562 = 143,562 : x
2. Step 2: Convert to fraction form
   105,824/143,562 = 143,562/x
3. Step 3: Cross multiply
   105,824x = 143,562 × 143,562
4. Step 4: Simplify right side
   105,824x = 20,610,047,844
5. Step 5: Solve for x
   x = 20,610,047,844/105,824
6. Step 6: Final answer
   x = 194,757.79