Finding the Third Proportional to 105,189 and 143,712

Step by Step Solution

1. Step 1: Write the proportion equation
   105,189 : 143,712 = 143,712 : x
2. Step 2: Convert to fraction form
   105,189/143,712 = 143,712/x
3. Step 3: Cross multiply
   105,189x = 143,712 × 143,712
4. Step 4: Simplify right side
   105,189x = 20,653,138,944
5. Step 5: Solve for x
   x = 20,653,138,944/105,189
6. Step 6: Final answer
   x = 196,343.14