Finding the Third Proportional to 82,868.44 and 181,410.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,868.44 : 181,410.38 = 181,410.38 : x
2. Step 2: Convert to fraction form
   82,868.44/181,410.38 = 181,410.38/x
3. Step 3: Cross multiply
   82,868.44x = 181,410.38 × 181,410.38
4. Step 4: Simplify right side
   82,868.44x = 32,909,724,157.64
5. Step 5: Solve for x
   x = 32,909,724,157.64/82,868.44
6. Step 6: Final answer
   x = 397,132.19