Finding the Third Proportional to 36,728 and 80,300

Step by Step Solution

1. Step 1: Write the proportion equation
   36,728 : 80,300 = 80,300 : x
2. Step 2: Convert to fraction form
   36,728/80,300 = 80,300/x
3. Step 3: Cross multiply
   36,728x = 80,300 × 80,300
4. Step 4: Simplify right side
   36,728x = 6,448,090,000
5. Step 5: Solve for x
   x = 6,448,090,000/36,728
6. Step 6: Final answer
   x = 175,563.33