Finding the Third Proportional to 82,897 and 178,898

Step by Step Solution

1. Step 1: Write the proportion equation
   82,897 : 178,898 = 178,898 : x
2. Step 2: Convert to fraction form
   82,897/178,898 = 178,898/x
3. Step 3: Cross multiply
   82,897x = 178,898 × 178,898
4. Step 4: Simplify right side
   82,897x = 32,004,494,404
5. Step 5: Solve for x
   x = 32,004,494,404/82,897
6. Step 6: Final answer
   x = 386,075.42