Finding the Third Proportional to 80,756 and 187,670

Step by Step Solution

1. Step 1: Write the proportion equation
   80,756 : 187,670 = 187,670 : x
2. Step 2: Convert to fraction form
   80,756/187,670 = 187,670/x
3. Step 3: Cross multiply
   80,756x = 187,670 × 187,670
4. Step 4: Simplify right side
   80,756x = 35,220,028,900
5. Step 5: Solve for x
   x = 35,220,028,900/80,756
6. Step 6: Final answer
   x = 436,128.94