Finding the Third Proportional to 80,441 and 187,022

Step by Step Solution

1. Step 1: Write the proportion equation
   80,441 : 187,022 = 187,022 : x
2. Step 2: Convert to fraction form
   80,441/187,022 = 187,022/x
3. Step 3: Cross multiply
   80,441x = 187,022 × 187,022
4. Step 4: Simplify right side
   80,441x = 34,977,228,484
5. Step 5: Solve for x
   x = 34,977,228,484/80,441
6. Step 6: Final answer
   x = 434,818.42