Finding the Third Proportional to 36,378 and 80,404

Step by Step Solution

1. Step 1: Write the proportion equation
   36,378 : 80,404 = 80,404 : x
2. Step 2: Convert to fraction form
   36,378/80,404 = 80,404/x
3. Step 3: Cross multiply
   36,378x = 80,404 × 80,404
4. Step 4: Simplify right side
   36,378x = 6,464,803,216
5. Step 5: Solve for x
   x = 6,464,803,216/36,378
6. Step 6: Final answer
   x = 177,711.89