Finding the Third Proportional to 144,176 and 309,662

Step by Step Solution

1. Step 1: Write the proportion equation
   144,176 : 309,662 = 309,662 : x
2. Step 2: Convert to fraction form
   144,176/309,662 = 309,662/x
3. Step 3: Cross multiply
   144,176x = 309,662 × 309,662
4. Step 4: Simplify right side
   144,176x = 95,890,554,244
5. Step 5: Solve for x
   x = 95,890,554,244/144,176
6. Step 6: Final answer
   x = 665,093.73