Finding the Third Proportional to 233,569 and 508,144

Step by Step Solution

1. Step 1: Write the proportion equation
   233,569 : 508,144 = 508,144 : x
2. Step 2: Convert to fraction form
   233,569/508,144 = 508,144/x
3. Step 3: Cross multiply
   233,569x = 508,144 × 508,144
4. Step 4: Simplify right side
   233,569x = 258,210,324,736
5. Step 5: Solve for x
   x = 258,210,324,736/233,569
6. Step 6: Final answer
   x = 1,105,499.12