Finding the Third Proportional to 80,876 and 174,904

Step by Step Solution

1. Step 1: Write the proportion equation
   80,876 : 174,904 = 174,904 : x
2. Step 2: Convert to fraction form
   80,876/174,904 = 174,904/x
3. Step 3: Cross multiply
   80,876x = 174,904 × 174,904
4. Step 4: Simplify right side
   80,876x = 30,591,409,216
5. Step 5: Solve for x
   x = 30,591,409,216/80,876
6. Step 6: Final answer
   x = 378,250.77