Finding the Third Proportional to 80,216 and 162,380

Step by Step Solution

1. Step 1: Write the proportion equation
   80,216 : 162,380 = 162,380 : x
2. Step 2: Convert to fraction form
   80,216/162,380 = 162,380/x
3. Step 3: Cross multiply
   80,216x = 162,380 × 162,380
4. Step 4: Simplify right side
   80,216x = 26,367,264,400
5. Step 5: Solve for x
   x = 26,367,264,400/80,216
6. Step 6: Final answer
   x = 328,703.31