Finding the Third Proportional to 36,788 and 80,260

Step by Step Solution

1. Step 1: Write the proportion equation
   36,788 : 80,260 = 80,260 : x
2. Step 2: Convert to fraction form
   36,788/80,260 = 80,260/x
3. Step 3: Cross multiply
   36,788x = 80,260 × 80,260
4. Step 4: Simplify right side
   36,788x = 6,441,667,600
5. Step 5: Solve for x
   x = 6,441,667,600/36,788
6. Step 6: Final answer
   x = 175,102.41