Finding the Third Proportional to 123,919.75 and 196,952

Step by Step Solution

1. Step 1: Write the proportion equation
   123,919.75 : 196,952 = 196,952 : x
2. Step 2: Convert to fraction form
   123,919.75/196,952 = 196,952/x
3. Step 3: Cross multiply
   123,919.75x = 196,952 × 196,952
4. Step 4: Simplify right side
   123,919.75x = 38,790,090,304
5. Step 5: Solve for x
   x = 38,790,090,304/123,919.75
6. Step 6: Final answer
   x = 313,025.89