Finding the Third Proportional to 82,913 and 181,378

Step by Step Solution

1. Step 1: Write the proportion equation
   82,913 : 181,378 = 181,378 : x
2. Step 2: Convert to fraction form
   82,913/181,378 = 181,378/x
3. Step 3: Cross multiply
   82,913x = 181,378 × 181,378
4. Step 4: Simplify right side
   82,913x = 32,897,978,884
5. Step 5: Solve for x
   x = 32,897,978,884/82,913
6. Step 6: Final answer
   x = 396,777.09