Finding the Third Proportional to 82,760 and 178,640

Step by Step Solution

1. Step 1: Write the proportion equation
   82,760 : 178,640 = 178,640 : x
2. Step 2: Convert to fraction form
   82,760/178,640 = 178,640/x
3. Step 3: Cross multiply
   82,760x = 178,640 × 178,640
4. Step 4: Simplify right side
   82,760x = 31,912,249,600
5. Step 5: Solve for x
   x = 31,912,249,600/82,760
6. Step 6: Final answer
   x = 385,599.92