Finding the Third Proportional to 123,383.25 and 196,237.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123,383.25 : 196,237.69 = 196,237.69 : x
2. Step 2: Convert to fraction form
   123,383.25/196,237.69 = 196,237.69/x
3. Step 3: Cross multiply
   123,383.25x = 196,237.69 × 196,237.69
4. Step 4: Simplify right side
   123,383.25x = 38,509,229,995.35
5. Step 5: Solve for x
   x = 38,509,229,995.35/123,383.25
6. Step 6: Final answer
   x = 312,110.68