Finding the Third Proportional to 109,092 and 235,398

Step by Step Solution

1. Step 1: Write the proportion equation
   109,092 : 235,398 = 235,398 : x
2. Step 2: Convert to fraction form
   109,092/235,398 = 235,398/x
3. Step 3: Cross multiply
   109,092x = 235,398 × 235,398
4. Step 4: Simplify right side
   109,092x = 55,412,218,404
5. Step 5: Solve for x
   x = 55,412,218,404/109,092
6. Step 6: Final answer
   x = 507,940.26