Finding the Third Proportional to 111,299 and 262,469

Step by Step Solution

1. Step 1: Write the proportion equation
   111,299 : 262,469 = 262,469 : x
2. Step 2: Convert to fraction form
   111,299/262,469 = 262,469/x
3. Step 3: Cross multiply
   111,299x = 262,469 × 262,469
4. Step 4: Simplify right side
   111,299x = 68,889,975,961
5. Step 5: Solve for x
   x = 68,889,975,961/111,299
6. Step 6: Final answer
   x = 618,963.12