Finding the Third Proportional to 111,591 and 162,459

Step by Step Solution

1. Step 1: Write the proportion equation
   111,591 : 162,459 = 162,459 : x
2. Step 2: Convert to fraction form
   111,591/162,459 = 162,459/x
3. Step 3: Cross multiply
   111,591x = 162,459 × 162,459
4. Step 4: Simplify right side
   111,591x = 26,392,926,681
5. Step 5: Solve for x
   x = 26,392,926,681/111,591
6. Step 6: Final answer
   x = 236,514.83