Finding the Third Proportional to 142,766 and 310,956

Step by Step Solution

1. Step 1: Write the proportion equation
   142,766 : 310,956 = 310,956 : x
2. Step 2: Convert to fraction form
   142,766/310,956 = 310,956/x
3. Step 3: Cross multiply
   142,766x = 310,956 × 310,956
4. Step 4: Simplify right side
   142,766x = 96,693,633,936
5. Step 5: Solve for x
   x = 96,693,633,936/142,766
6. Step 6: Final answer
   x = 677,287.55