Finding the Third Proportional to 82,706 and 179,412

Step by Step Solution

1. Step 1: Write the proportion equation
   82,706 : 179,412 = 179,412 : x
2. Step 2: Convert to fraction form
   82,706/179,412 = 179,412/x
3. Step 3: Cross multiply
   82,706x = 179,412 × 179,412
4. Step 4: Simplify right side
   82,706x = 32,188,665,744
5. Step 5: Solve for x
   x = 32,188,665,744/82,706
6. Step 6: Final answer
   x = 389,193.84