Finding the Third Proportional to 105,808 and 143,538

Step by Step Solution

1. Step 1: Write the proportion equation
   105,808 : 143,538 = 143,538 : x
2. Step 2: Convert to fraction form
   105,808/143,538 = 143,538/x
3. Step 3: Cross multiply
   105,808x = 143,538 × 143,538
4. Step 4: Simplify right side
   105,808x = 20,603,157,444
5. Step 5: Solve for x
   x = 20,603,157,444/105,808
6. Step 6: Final answer
   x = 194,722.11