Finding the Third Proportional to 105,657 and 143,905

Step by Step Solution

1. Step 1: Write the proportion equation
   105,657 : 143,905 = 143,905 : x
2. Step 2: Convert to fraction form
   105,657/143,905 = 143,905/x
3. Step 3: Cross multiply
   105,657x = 143,905 × 143,905
4. Step 4: Simplify right side
   105,657x = 20,708,649,025
5. Step 5: Solve for x
   x = 20,708,649,025/105,657
6. Step 6: Final answer
   x = 195,998.84