Finding the Third Proportional to 82,620 and 181,056

Step by Step Solution

1. Step 1: Write the proportion equation
   82,620 : 181,056 = 181,056 : x
2. Step 2: Convert to fraction form
   82,620/181,056 = 181,056/x
3. Step 3: Cross multiply
   82,620x = 181,056 × 181,056
4. Step 4: Simplify right side
   82,620x = 32,781,275,136
5. Step 5: Solve for x
   x = 32,781,275,136/82,620
6. Step 6: Final answer
   x = 396,771.67