Finding the Third Proportional to 80,622 and 188,262

Step by Step Solution

1. Step 1: Write the proportion equation
   80,622 : 188,262 = 188,262 : x
2. Step 2: Convert to fraction form
   80,622/188,262 = 188,262/x
3. Step 3: Cross multiply
   80,622x = 188,262 × 188,262
4. Step 4: Simplify right side
   80,622x = 35,442,580,644
5. Step 5: Solve for x
   x = 35,442,580,644/80,622
6. Step 6: Final answer
   x = 439,614.26