Finding the Third Proportional to 105,734 and 143,528

Step by Step Solution

1. Step 1: Write the proportion equation
   105,734 : 143,528 = 143,528 : x
2. Step 2: Convert to fraction form
   105,734/143,528 = 143,528/x
3. Step 3: Cross multiply
   105,734x = 143,528 × 143,528
4. Step 4: Simplify right side
   105,734x = 20,600,286,784
5. Step 5: Solve for x
   x = 20,600,286,784/105,734
6. Step 6: Final answer
   x = 194,831.24