Finding the Third Proportional to 111,338 and 233,617

Step by Step Solution

1. Step 1: Write the proportion equation
   111,338 : 233,617 = 233,617 : x
2. Step 2: Convert to fraction form
   111,338/233,617 = 233,617/x
3. Step 3: Cross multiply
   111,338x = 233,617 × 233,617
4. Step 4: Simplify right side
   111,338x = 54,576,902,689
5. Step 5: Solve for x
   x = 54,576,902,689/111,338
6. Step 6: Final answer
   x = 490,191.15