Finding the Third Proportional to 82,130 and 178,676

Step by Step Solution

1. Step 1: Write the proportion equation
   82,130 : 178,676 = 178,676 : x
2. Step 2: Convert to fraction form
   82,130/178,676 = 178,676/x
3. Step 3: Cross multiply
   82,130x = 178,676 × 178,676
4. Step 4: Simplify right side
   82,130x = 31,925,112,976
5. Step 5: Solve for x
   x = 31,925,112,976/82,130
6. Step 6: Final answer
   x = 388,714.39