Finding the Third Proportional to 128,778.75 and 196,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,778.75 : 196,996.50 = 196,996.50 : x
2. Step 2: Convert to fraction form
   128,778.75/196,996.50 = 196,996.50/x
3. Step 3: Cross multiply
   128,778.75x = 196,996.50 × 196,996.50
4. Step 4: Simplify right side
   128,778.75x = 38,807,621,012.25
5. Step 5: Solve for x
   x = 38,807,621,012.25/128,778.75
6. Step 6: Final answer
   x = 301,351.12