Finding the Third Proportional to 82,980 and 179,136

Step by Step Solution

1. Step 1: Write the proportion equation
   82,980 : 179,136 = 179,136 : x
2. Step 2: Convert to fraction form
   82,980/179,136 = 179,136/x
3. Step 3: Cross multiply
   82,980x = 179,136 × 179,136
4. Step 4: Simplify right side
   82,980x = 32,089,706,496
5. Step 5: Solve for x
   x = 32,089,706,496/82,980
6. Step 6: Final answer
   x = 386,716.15