Finding the Third Proportional to 142,569 and 308,664

Step by Step Solution

1. Step 1: Write the proportion equation
   142,569 : 308,664 = 308,664 : x
2. Step 2: Convert to fraction form
   142,569/308,664 = 308,664/x
3. Step 3: Cross multiply
   142,569x = 308,664 × 308,664
4. Step 4: Simplify right side
   142,569x = 95,273,464,896
5. Step 5: Solve for x
   x = 95,273,464,896/142,569
6. Step 6: Final answer
   x = 668,262.14