Finding the Third Proportional to 82,011 and 179,724

Step by Step Solution

1. Step 1: Write the proportion equation
   82,011 : 179,724 = 179,724 : x
2. Step 2: Convert to fraction form
   82,011/179,724 = 179,724/x
3. Step 3: Cross multiply
   82,011x = 179,724 × 179,724
4. Step 4: Simplify right side
   82,011x = 32,300,716,176
5. Step 5: Solve for x
   x = 32,300,716,176/82,011
6. Step 6: Final answer
   x = 393,858.34