Finding the Third Proportional to 36,783 and 80,685

Step by Step Solution

1. Step 1: Write the proportion equation
   36,783 : 80,685 = 80,685 : x
2. Step 2: Convert to fraction form
   36,783/80,685 = 80,685/x
3. Step 3: Cross multiply
   36,783x = 80,685 × 80,685
4. Step 4: Simplify right side
   36,783x = 6,510,069,225
5. Step 5: Solve for x
   x = 6,510,069,225/36,783
6. Step 6: Final answer
   x = 176,985.81