Finding the Third Proportional to 82,802 and 123,876

Step by Step Solution

1. Step 1: Write the proportion equation
   82,802 : 123,876 = 123,876 : x
2. Step 2: Convert to fraction form
   82,802/123,876 = 123,876/x
3. Step 3: Cross multiply
   82,802x = 123,876 × 123,876
4. Step 4: Simplify right side
   82,802x = 15,345,263,376
5. Step 5: Solve for x
   x = 15,345,263,376/82,802
6. Step 6: Final answer
   x = 185,324.79