Finding the Third Proportional to 82,622 and 178,380

Step by Step Solution

1. Step 1: Write the proportion equation
   82,622 : 178,380 = 178,380 : x
2. Step 2: Convert to fraction form
   82,622/178,380 = 178,380/x
3. Step 3: Cross multiply
   82,622x = 178,380 × 178,380
4. Step 4: Simplify right side
   82,622x = 31,819,424,400
5. Step 5: Solve for x
   x = 31,819,424,400/82,622
6. Step 6: Final answer
   x = 385,120.48