Finding the Third Proportional to 109,469 and 233,059

Step by Step Solution

1. Step 1: Write the proportion equation
   109,469 : 233,059 = 233,059 : x
2. Step 2: Convert to fraction form
   109,469/233,059 = 233,059/x
3. Step 3: Cross multiply
   109,469x = 233,059 × 233,059
4. Step 4: Simplify right side
   109,469x = 54,316,497,481
5. Step 5: Solve for x
   x = 54,316,497,481/109,469
6. Step 6: Final answer
   x = 496,181.54