Finding the Third Proportional to 82,026 and 178,874

Step by Step Solution

1. Step 1: Write the proportion equation
   82,026 : 178,874 = 178,874 : x
2. Step 2: Convert to fraction form
   82,026/178,874 = 178,874/x
3. Step 3: Cross multiply
   82,026x = 178,874 × 178,874
4. Step 4: Simplify right side
   82,026x = 31,995,907,876
5. Step 5: Solve for x
   x = 31,995,907,876/82,026
6. Step 6: Final answer
   x = 390,070.32