Finding the Third Proportional to 82,675 and 179,444

Step by Step Solution

1. Step 1: Write the proportion equation
   82,675 : 179,444 = 179,444 : x
2. Step 2: Convert to fraction form
   82,675/179,444 = 179,444/x
3. Step 3: Cross multiply
   82,675x = 179,444 × 179,444
4. Step 4: Simplify right side
   82,675x = 32,200,149,136
5. Step 5: Solve for x
   x = 32,200,149,136/82,675
6. Step 6: Final answer
   x = 389,478.67