Finding the Third Proportional to 81,680 and 175,876

Step by Step Solution

1. Step 1: Write the proportion equation
   81,680 : 175,876 = 175,876 : x
2. Step 2: Convert to fraction form
   81,680/175,876 = 175,876/x
3. Step 3: Cross multiply
   81,680x = 175,876 × 175,876
4. Step 4: Simplify right side
   81,680x = 30,932,367,376
5. Step 5: Solve for x
   x = 30,932,367,376/81,680
6. Step 6: Final answer
   x = 378,701.85