Finding the Third Proportional to 80,830 and 175,484

Step by Step Solution

1. Step 1: Write the proportion equation
   80,830 : 175,484 = 175,484 : x
2. Step 2: Convert to fraction form
   80,830/175,484 = 175,484/x
3. Step 3: Cross multiply
   80,830x = 175,484 × 175,484
4. Step 4: Simplify right side
   80,830x = 30,794,634,256
5. Step 5: Solve for x
   x = 30,794,634,256/80,830
6. Step 6: Final answer
   x = 380,980.26