Finding the Third Proportional to 80,622 and 188,265

Step by Step Solution

1. Step 1: Write the proportion equation
   80,622 : 188,265 = 188,265 : x
2. Step 2: Convert to fraction form
   80,622/188,265 = 188,265/x
3. Step 3: Cross multiply
   80,622x = 188,265 × 188,265
4. Step 4: Simplify right side
   80,622x = 35,443,710,225
5. Step 5: Solve for x
   x = 35,443,710,225/80,622
6. Step 6: Final answer
   x = 439,628.27