Finding the Third Proportional to 36,604.41 and 80,212.78

Step by Step Solution

1. Step 1: Write the proportion equation
   36,604.41 : 80,212.78 = 80,212.78 : x
2. Step 2: Convert to fraction form
   36,604.41/80,212.78 = 80,212.78/x
3. Step 3: Cross multiply
   36,604.41x = 80,212.78 × 80,212.78
4. Step 4: Simplify right side
   36,604.41x = 6,434,090,275.86
5. Step 5: Solve for x
   x = 6,434,090,275.86/36,604.41
6. Step 6: Final answer
   x = 175,773.66