Finding the Third Proportional to 123,096 and 192,852

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096 : 192,852 = 192,852 : x
2. Step 2: Convert to fraction form
   123,096/192,852 = 192,852/x
3. Step 3: Cross multiply
   123,096x = 192,852 × 192,852
4. Step 4: Simplify right side
   123,096x = 37,191,893,904
5. Step 5: Solve for x
   x = 37,191,893,904/123,096
6. Step 6: Final answer
   x = 302,137.31