Finding the Third Proportional to 127,530 and 196,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,530 : 196,780.50 = 196,780.50 : x
2. Step 2: Convert to fraction form
   127,530/196,780.50 = 196,780.50/x
3. Step 3: Cross multiply
   127,530x = 196,780.50 × 196,780.50
4. Step 4: Simplify right side
   127,530x = 38,722,565,180.25
5. Step 5: Solve for x
   x = 38,722,565,180.25/127,530
6. Step 6: Final answer
   x = 303,634.95