Finding the Third Proportional to 76,789.69 and 116,257.78

Step by Step Solution

1. Step 1: Write the proportion equation
   76,789.69 : 116,257.78 = 116,257.78 : x
2. Step 2: Convert to fraction form
   76,789.69/116,257.78 = 116,257.78/x
3. Step 3: Cross multiply
   76,789.69x = 116,257.78 × 116,257.78
4. Step 4: Simplify right side
   76,789.69x = 13,515,871,701.17
5. Step 5: Solve for x
   x = 13,515,871,701.17/76,789.69
6. Step 6: Final answer
   x = 176,011.55