Finding the Third Proportional to 80,296 and 174,892

Step by Step Solution

1. Step 1: Write the proportion equation
   80,296 : 174,892 = 174,892 : x
2. Step 2: Convert to fraction form
   80,296/174,892 = 174,892/x
3. Step 3: Cross multiply
   80,296x = 174,892 × 174,892
4. Step 4: Simplify right side
   80,296x = 30,587,211,664
5. Step 5: Solve for x
   x = 30,587,211,664/80,296
6. Step 6: Final answer
   x = 380,930.70