Finding the Third Proportional to 142,764 and 310,960

Step by Step Solution

1. Step 1: Write the proportion equation
   142,764 : 310,960 = 310,960 : x
2. Step 2: Convert to fraction form
   142,764/310,960 = 310,960/x
3. Step 3: Cross multiply
   142,764x = 310,960 × 310,960
4. Step 4: Simplify right side
   142,764x = 96,696,121,600
5. Step 5: Solve for x
   x = 96,696,121,600/142,764
6. Step 6: Final answer
   x = 677,314.46