Finding the Third Proportional to 36,969 and 80,256

Step by Step Solution

1. Step 1: Write the proportion equation
   36,969 : 80,256 = 80,256 : x
2. Step 2: Convert to fraction form
   36,969/80,256 = 80,256/x
3. Step 3: Cross multiply
   36,969x = 80,256 × 80,256
4. Step 4: Simplify right side
   36,969x = 6,441,025,536
5. Step 5: Solve for x
   x = 6,441,025,536/36,969
6. Step 6: Final answer
   x = 174,227.75