Finding the Third Proportional to 82,380 and 180,801

Step by Step Solution

1. Step 1: Write the proportion equation
   82,380 : 180,801 = 180,801 : x
2. Step 2: Convert to fraction form
   82,380/180,801 = 180,801/x
3. Step 3: Cross multiply
   82,380x = 180,801 × 180,801
4. Step 4: Simplify right side
   82,380x = 32,689,001,601
5. Step 5: Solve for x
   x = 32,689,001,601/82,380
6. Step 6: Final answer
   x = 396,807.50