Finding the Third Proportional to 123,804 and 192,174

Step by Step Solution

1. Step 1: Write the proportion equation
   123,804 : 192,174 = 192,174 : x
2. Step 2: Convert to fraction form
   123,804/192,174 = 192,174/x
3. Step 3: Cross multiply
   123,804x = 192,174 × 192,174
4. Step 4: Simplify right side
   123,804x = 36,930,846,276
5. Step 5: Solve for x
   x = 36,930,846,276/123,804
6. Step 6: Final answer
   x = 298,300.91