Finding the Third Proportional to 140,092 and 192,642

Step by Step Solution

1. Step 1: Write the proportion equation
   140,092 : 192,642 = 192,642 : x
2. Step 2: Convert to fraction form
   140,092/192,642 = 192,642/x
3. Step 3: Cross multiply
   140,092x = 192,642 × 192,642
4. Step 4: Simplify right side
   140,092x = 37,110,940,164
5. Step 5: Solve for x
   x = 37,110,940,164/140,092
6. Step 6: Final answer
   x = 264,904.06