Finding the Third Proportional to 105,732 and 143,526

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 143,526 = 143,526 : x
2. Step 2: Convert to fraction form
   105,732/143,526 = 143,526/x
3. Step 3: Cross multiply
   105,732x = 143,526 × 143,526
4. Step 4: Simplify right side
   105,732x = 20,599,712,676
5. Step 5: Solve for x
   x = 20,599,712,676/105,732
6. Step 6: Final answer
   x = 194,829.50