Finding the Third Proportional to 80,802 and 174,510

Step by Step Solution

1. Step 1: Write the proportion equation
   80,802 : 174,510 = 174,510 : x
2. Step 2: Convert to fraction form
   80,802/174,510 = 174,510/x
3. Step 3: Cross multiply
   80,802x = 174,510 × 174,510
4. Step 4: Simplify right side
   80,802x = 30,453,740,100
5. Step 5: Solve for x
   x = 30,453,740,100/80,802
6. Step 6: Final answer
   x = 376,893.39