Finding the Third Proportional to 80,872 and 174,992

Step by Step Solution

1. Step 1: Write the proportion equation
   80,872 : 174,992 = 174,992 : x
2. Step 2: Convert to fraction form
   80,872/174,992 = 174,992/x
3. Step 3: Cross multiply
   80,872x = 174,992 × 174,992
4. Step 4: Simplify right side
   80,872x = 30,622,200,064
5. Step 5: Solve for x
   x = 30,622,200,064/80,872
6. Step 6: Final answer
   x = 378,650.21