Finding the Third Proportional to 82,258 and 178,610

Step by Step Solution

1. Step 1: Write the proportion equation
   82,258 : 178,610 = 178,610 : x
2. Step 2: Convert to fraction form
   82,258/178,610 = 178,610/x
3. Step 3: Cross multiply
   82,258x = 178,610 × 178,610
4. Step 4: Simplify right side
   82,258x = 31,901,532,100
5. Step 5: Solve for x
   x = 31,901,532,100/82,258
6. Step 6: Final answer
   x = 387,822.85