Finding the Third Proportional to 80,792 and 174,830

Step by Step Solution

1. Step 1: Write the proportion equation
   80,792 : 174,830 = 174,830 : x
2. Step 2: Convert to fraction form
   80,792/174,830 = 174,830/x
3. Step 3: Cross multiply
   80,792x = 174,830 × 174,830
4. Step 4: Simplify right side
   80,792x = 30,565,528,900
5. Step 5: Solve for x
   x = 30,565,528,900/80,792
6. Step 6: Final answer
   x = 378,323.71