Finding the Third Proportional to 111,336 and 233,613

Step by Step Solution

1. Step 1: Write the proportion equation
   111,336 : 233,613 = 233,613 : x
2. Step 2: Convert to fraction form
   111,336/233,613 = 233,613/x
3. Step 3: Cross multiply
   111,336x = 233,613 × 233,613
4. Step 4: Simplify right side
   111,336x = 54,575,033,769
5. Step 5: Solve for x
   x = 54,575,033,769/111,336
6. Step 6: Final answer
   x = 490,183.17