Finding the Third Proportional to 82,660 and 179,056

Step by Step Solution

1. Step 1: Write the proportion equation
   82,660 : 179,056 = 179,056 : x
2. Step 2: Convert to fraction form
   82,660/179,056 = 179,056/x
3. Step 3: Cross multiply
   82,660x = 179,056 × 179,056
4. Step 4: Simplify right side
   82,660x = 32,061,051,136
5. Step 5: Solve for x
   x = 32,061,051,136/82,660
6. Step 6: Final answer
   x = 387,866.58