Finding the Third Proportional to 37,330 and 80,678

Step by Step Solution

1. Step 1: Write the proportion equation
   37,330 : 80,678 = 80,678 : x
2. Step 2: Convert to fraction form
   37,330/80,678 = 80,678/x
3. Step 3: Cross multiply
   37,330x = 80,678 × 80,678
4. Step 4: Simplify right side
   37,330x = 6,508,939,684
5. Step 5: Solve for x
   x = 6,508,939,684/37,330
6. Step 6: Final answer
   x = 174,362.17