Finding the Third Proportional to 142,980 and 309,496

Step by Step Solution

1. Step 1: Write the proportion equation
   142,980 : 309,496 = 309,496 : x
2. Step 2: Convert to fraction form
   142,980/309,496 = 309,496/x
3. Step 3: Cross multiply
   142,980x = 309,496 × 309,496
4. Step 4: Simplify right side
   142,980x = 95,787,774,016
5. Step 5: Solve for x
   x = 95,787,774,016/142,980
6. Step 6: Final answer
   x = 669,938.27