Finding the Third Proportional to 123,934.50 and 196,971.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,934.50 : 196,971.75 = 196,971.75 : x
2. Step 2: Convert to fraction form
   123,934.50/196,971.75 = 196,971.75/x
3. Step 3: Cross multiply
   123,934.50x = 196,971.75 × 196,971.75
4. Step 4: Simplify right side
   123,934.50x = 38,797,870,298.06
5. Step 5: Solve for x
   x = 38,797,870,298.06/123,934.50
6. Step 6: Final answer
   x = 313,051.41