Finding the Third Proportional to 80,766 and 188,655

Step by Step Solution

1. Step 1: Write the proportion equation
   80,766 : 188,655 = 188,655 : x
2. Step 2: Convert to fraction form
   80,766/188,655 = 188,655/x
3. Step 3: Cross multiply
   80,766x = 188,655 × 188,655
4. Step 4: Simplify right side
   80,766x = 35,590,709,025
5. Step 5: Solve for x
   x = 35,590,709,025/80,766
6. Step 6: Final answer
   x = 440,664.50