Finding the Third Proportional to 82,164 and 172,050

Step by Step Solution

1. Step 1: Write the proportion equation
   82,164 : 172,050 = 172,050 : x
2. Step 2: Convert to fraction form
   82,164/172,050 = 172,050/x
3. Step 3: Cross multiply
   82,164x = 172,050 × 172,050
4. Step 4: Simplify right side
   82,164x = 29,601,202,500
5. Step 5: Solve for x
   x = 29,601,202,500/82,164
6. Step 6: Final answer
   x = 360,269.73