Finding the Third Proportional to 80,510 and 174,851

Step by Step Solution

1. Step 1: Write the proportion equation
   80,510 : 174,851 = 174,851 : x
2. Step 2: Convert to fraction form
   80,510/174,851 = 174,851/x
3. Step 3: Cross multiply
   80,510x = 174,851 × 174,851
4. Step 4: Simplify right side
   80,510x = 30,572,872,201
5. Step 5: Solve for x
   x = 30,572,872,201/80,510
6. Step 6: Final answer
   x = 379,740.06