Finding the Third Proportional to 105,826 and 143,724

Step by Step Solution

1. Step 1: Write the proportion equation
   105,826 : 143,724 = 143,724 : x
2. Step 2: Convert to fraction form
   105,826/143,724 = 143,724/x
3. Step 3: Cross multiply
   105,826x = 143,724 × 143,724
4. Step 4: Simplify right side
   105,826x = 20,656,588,176
5. Step 5: Solve for x
   x = 20,656,588,176/105,826
6. Step 6: Final answer
   x = 195,193.89