Finding the Third Proportional to 82,914 and 181,010

Step by Step Solution

1. Step 1: Write the proportion equation
   82,914 : 181,010 = 181,010 : x
2. Step 2: Convert to fraction form
   82,914/181,010 = 181,010/x
3. Step 3: Cross multiply
   82,914x = 181,010 × 181,010
4. Step 4: Simplify right side
   82,914x = 32,764,620,100
5. Step 5: Solve for x
   x = 32,764,620,100/82,914
6. Step 6: Final answer
   x = 395,163.91