Finding the Third Proportional to 105,822 and 143,559

Step by Step Solution

1. Step 1: Write the proportion equation
   105,822 : 143,559 = 143,559 : x
2. Step 2: Convert to fraction form
   105,822/143,559 = 143,559/x
3. Step 3: Cross multiply
   105,822x = 143,559 × 143,559
4. Step 4: Simplify right side
   105,822x = 20,609,186,481
5. Step 5: Solve for x
   x = 20,609,186,481/105,822
6. Step 6: Final answer
   x = 194,753.33