Finding the Third Proportional to 82,379 and 178,974

Step by Step Solution

1. Step 1: Write the proportion equation
   82,379 : 178,974 = 178,974 : x
2. Step 2: Convert to fraction form
   82,379/178,974 = 178,974/x
3. Step 3: Cross multiply
   82,379x = 178,974 × 178,974
4. Step 4: Simplify right side
   82,379x = 32,031,692,676
5. Step 5: Solve for x
   x = 32,031,692,676/82,379
6. Step 6: Final answer
   x = 388,833.23