Finding the Third Proportional to 134,949 and 194,403.75

Step by Step Solution

1. Step 1: Write the proportion equation
   134,949 : 194,403.75 = 194,403.75 : x
2. Step 2: Convert to fraction form
   134,949/194,403.75 = 194,403.75/x
3. Step 3: Cross multiply
   134,949x = 194,403.75 × 194,403.75
4. Step 4: Simplify right side
   134,949x = 37,792,818,014.06
5. Step 5: Solve for x
   x = 37,792,818,014.06/134,949
6. Step 6: Final answer
   x = 280,052.60