Finding the Third Proportional to 109,022 and 233,806

Step by Step Solution

1. Step 1: Write the proportion equation
   109,022 : 233,806 = 233,806 : x
2. Step 2: Convert to fraction form
   109,022/233,806 = 233,806/x
3. Step 3: Cross multiply
   109,022x = 233,806 × 233,806
4. Step 4: Simplify right side
   109,022x = 54,665,245,636
5. Step 5: Solve for x
   x = 54,665,245,636/109,022
6. Step 6: Final answer
   x = 501,414.81