Finding the Third Proportional to 111,822 and 179,559

Step by Step Solution

1. Step 1: Write the proportion equation
   111,822 : 179,559 = 179,559 : x
2. Step 2: Convert to fraction form
   111,822/179,559 = 179,559/x
3. Step 3: Cross multiply
   111,822x = 179,559 × 179,559
4. Step 4: Simplify right side
   111,822x = 32,241,434,481
5. Step 5: Solve for x
   x = 32,241,434,481/111,822
6. Step 6: Final answer
   x = 288,328.19