Finding the Third Proportional to 82,538 and 176,812

Step by Step Solution

1. Step 1: Write the proportion equation
   82,538 : 176,812 = 176,812 : x
2. Step 2: Convert to fraction form
   82,538/176,812 = 176,812/x
3. Step 3: Cross multiply
   82,538x = 176,812 × 176,812
4. Step 4: Simplify right side
   82,538x = 31,262,483,344
5. Step 5: Solve for x
   x = 31,262,483,344/82,538
6. Step 6: Final answer
   x = 378,764.73