Finding the Third Proportional to 80,772 and 188,670

Step by Step Solution

1. Step 1: Write the proportion equation
   80,772 : 188,670 = 188,670 : x
2. Step 2: Convert to fraction form
   80,772/188,670 = 188,670/x
3. Step 3: Cross multiply
   80,772x = 188,670 × 188,670
4. Step 4: Simplify right side
   80,772x = 35,596,368,900
5. Step 5: Solve for x
   x = 35,596,368,900/80,772
6. Step 6: Final answer
   x = 440,701.84