Finding the Third Proportional to 82,270 and 178,634

Step by Step Solution

1. Step 1: Write the proportion equation
   82,270 : 178,634 = 178,634 : x
2. Step 2: Convert to fraction form
   82,270/178,634 = 178,634/x
3. Step 3: Cross multiply
   82,270x = 178,634 × 178,634
4. Step 4: Simplify right side
   82,270x = 31,910,105,956
5. Step 5: Solve for x
   x = 31,910,105,956/82,270
6. Step 6: Final answer
   x = 387,870.50