Finding the Third Proportional to 80,793 and 176,274

Step by Step Solution

1. Step 1: Write the proportion equation
   80,793 : 176,274 = 176,274 : x
2. Step 2: Convert to fraction form
   80,793/176,274 = 176,274/x
3. Step 3: Cross multiply
   80,793x = 176,274 × 176,274
4. Step 4: Simplify right side
   80,793x = 31,072,523,076
5. Step 5: Solve for x
   x = 31,072,523,076/80,793
6. Step 6: Final answer
   x = 384,594.25