Finding the Third Proportional to 166,832 and 245,824

Step by Step Solution

1. Step 1: Write the proportion equation
   166,832 : 245,824 = 245,824 : x
2. Step 2: Convert to fraction form
   166,832/245,824 = 245,824/x
3. Step 3: Cross multiply
   166,832x = 245,824 × 245,824
4. Step 4: Simplify right side
   166,832x = 60,429,438,976
5. Step 5: Solve for x
   x = 60,429,438,976/166,832
6. Step 6: Final answer
   x = 362,217.31