Finding the Third Proportional to 105,666 and 143,916

Step by Step Solution

1. Step 1: Write the proportion equation
   105,666 : 143,916 = 143,916 : x
2. Step 2: Convert to fraction form
   105,666/143,916 = 143,916/x
3. Step 3: Cross multiply
   105,666x = 143,916 × 143,916
4. Step 4: Simplify right side
   105,666x = 20,711,815,056
5. Step 5: Solve for x
   x = 20,711,815,056/105,666
6. Step 6: Final answer
   x = 196,012.10