Finding the Third Proportional to 80,258 and 173,892

Step by Step Solution

1. Step 1: Write the proportion equation
   80,258 : 173,892 = 173,892 : x
2. Step 2: Convert to fraction form
   80,258/173,892 = 173,892/x
3. Step 3: Cross multiply
   80,258x = 173,892 × 173,892
4. Step 4: Simplify right side
   80,258x = 30,238,427,664
5. Step 5: Solve for x
   x = 30,238,427,664/80,258
6. Step 6: Final answer
   x = 376,765.28