Finding the Third Proportional to 82,224 and 179,666

Step by Step Solution

1. Step 1: Write the proportion equation
   82,224 : 179,666 = 179,666 : x
2. Step 2: Convert to fraction form
   82,224/179,666 = 179,666/x
3. Step 3: Cross multiply
   82,224x = 179,666 × 179,666
4. Step 4: Simplify right side
   82,224x = 32,279,871,556
5. Step 5: Solve for x
   x = 32,279,871,556/82,224
6. Step 6: Final answer
   x = 392,584.54