Finding the Third Proportional to 82,722 and 181,092

Step by Step Solution

1. Step 1: Write the proportion equation
   82,722 : 181,092 = 181,092 : x
2. Step 2: Convert to fraction form
   82,722/181,092 = 181,092/x
3. Step 3: Cross multiply
   82,722x = 181,092 × 181,092
4. Step 4: Simplify right side
   82,722x = 32,794,312,464
5. Step 5: Solve for x
   x = 32,794,312,464/82,722
6. Step 6: Final answer
   x = 396,440.03