Finding the Third Proportional to 123,252 and 196,176

Step by Step Solution

1. Step 1: Write the proportion equation
   123,252 : 196,176 = 196,176 : x
2. Step 2: Convert to fraction form
   123,252/196,176 = 196,176/x
3. Step 3: Cross multiply
   123,252x = 196,176 × 196,176
4. Step 4: Simplify right side
   123,252x = 38,485,022,976
5. Step 5: Solve for x
   x = 38,485,022,976/123,252
6. Step 6: Final answer
   x = 312,246.64