Finding the Third Proportional to 142,586 and 309,456

Step by Step Solution

1. Step 1: Write the proportion equation
   142,586 : 309,456 = 309,456 : x
2. Step 2: Convert to fraction form
   142,586/309,456 = 309,456/x
3. Step 3: Cross multiply
   142,586x = 309,456 × 309,456
4. Step 4: Simplify right side
   142,586x = 95,763,015,936
5. Step 5: Solve for x
   x = 95,763,015,936/142,586
6. Step 6: Final answer
   x = 671,615.84