Finding the Third Proportional to 105,998 and 143,445

Step by Step Solution

1. Step 1: Write the proportion equation
   105,998 : 143,445 = 143,445 : x
2. Step 2: Convert to fraction form
   105,998/143,445 = 143,445/x
3. Step 3: Cross multiply
   105,998x = 143,445 × 143,445
4. Step 4: Simplify right side
   105,998x = 20,576,468,025
5. Step 5: Solve for x
   x = 20,576,468,025/105,998
6. Step 6: Final answer
   x = 194,121.29