Finding the Third Proportional to 111,820 and 179,556

Step by Step Solution

1. Step 1: Write the proportion equation
   111,820 : 179,556 = 179,556 : x
2. Step 2: Convert to fraction form
   111,820/179,556 = 179,556/x
3. Step 3: Cross multiply
   111,820x = 179,556 × 179,556
4. Step 4: Simplify right side
   111,820x = 32,240,357,136
5. Step 5: Solve for x
   x = 32,240,357,136/111,820
6. Step 6: Final answer
   x = 288,323.71