Finding the Third Proportional to 85,845 and 188,092

Step by Step Solution

1. Step 1: Write the proportion equation
   85,845 : 188,092 = 188,092 : x
2. Step 2: Convert to fraction form
   85,845/188,092 = 188,092/x
3. Step 3: Cross multiply
   85,845x = 188,092 × 188,092
4. Step 4: Simplify right side
   85,845x = 35,378,600,464
5. Step 5: Solve for x
   x = 35,378,600,464/85,845
6. Step 6: Final answer
   x = 412,121.85