Finding the Third Proportional to 111,424 and 167,666

Step by Step Solution

1. Step 1: Write the proportion equation
   111,424 : 167,666 = 167,666 : x
2. Step 2: Convert to fraction form
   111,424/167,666 = 167,666/x
3. Step 3: Cross multiply
   111,424x = 167,666 × 167,666
4. Step 4: Simplify right side
   111,424x = 28,111,887,556
5. Step 5: Solve for x
   x = 28,111,887,556/111,424
6. Step 6: Final answer
   x = 252,296.52