Finding the Third Proportional to 34,764.19 and 80,212.78

Step by Step Solution

1. Step 1: Write the proportion equation
   34,764.19 : 80,212.78 = 80,212.78 : x
2. Step 2: Convert to fraction form
   34,764.19/80,212.78 = 80,212.78/x
3. Step 3: Cross multiply
   34,764.19x = 80,212.78 × 80,212.78
4. Step 4: Simplify right side
   34,764.19x = 6,434,090,275.86
5. Step 5: Solve for x
   x = 6,434,090,275.86/34,764.19
6. Step 6: Final answer
   x = 185,078.11