Finding the Third Proportional to 127,513.69 and 196,756.75

Step by Step Solution

1. Step 1: Write the proportion equation
   127,513.69 : 196,756.75 = 196,756.75 : x
2. Step 2: Convert to fraction form
   127,513.69/196,756.75 = 196,756.75/x
3. Step 3: Cross multiply
   127,513.69x = 196,756.75 × 196,756.75
4. Step 4: Simplify right side
   127,513.69x = 38,713,218,670.56
5. Step 5: Solve for x
   x = 38,713,218,670.56/127,513.69
6. Step 6: Final answer
   x = 303,600.50