Finding the Third Proportional to 85,198 and 182,072

Step by Step Solution

1. Step 1: Write the proportion equation
   85,198 : 182,072 = 182,072 : x
2. Step 2: Convert to fraction form
   85,198/182,072 = 182,072/x
3. Step 3: Cross multiply
   85,198x = 182,072 × 182,072
4. Step 4: Simplify right side
   85,198x = 33,150,213,184
5. Step 5: Solve for x
   x = 33,150,213,184/85,198
6. Step 6: Final answer
   x = 389,096.14