Finding the Third Proportional to 123,692 and 192,004

Step by Step Solution

1. Step 1: Write the proportion equation
   123,692 : 192,004 = 192,004 : x
2. Step 2: Convert to fraction form
   123,692/192,004 = 192,004/x
3. Step 3: Cross multiply
   123,692x = 192,004 × 192,004
4. Step 4: Simplify right side
   123,692x = 36,865,536,016
5. Step 5: Solve for x
   x = 36,865,536,016/123,692
6. Step 6: Final answer
   x = 298,043.01