Finding the Third Proportional to 82,896 and 181,344

Step by Step Solution

1. Step 1: Write the proportion equation
   82,896 : 181,344 = 181,344 : x
2. Step 2: Convert to fraction form
   82,896/181,344 = 181,344/x
3. Step 3: Cross multiply
   82,896x = 181,344 × 181,344
4. Step 4: Simplify right side
   82,896x = 32,885,646,336
5. Step 5: Solve for x
   x = 32,885,646,336/82,896
6. Step 6: Final answer
   x = 396,709.69