Finding the Third Proportional to 49,412 and 108,666

Step by Step Solution

1. Step 1: Write the proportion equation
   49,412 : 108,666 = 108,666 : x
2. Step 2: Convert to fraction form
   49,412/108,666 = 108,666/x
3. Step 3: Cross multiply
   49,412x = 108,666 × 108,666
4. Step 4: Simplify right side
   49,412x = 11,808,299,556
5. Step 5: Solve for x
   x = 11,808,299,556/49,412
6. Step 6: Final answer
   x = 238,976.35