Finding the Third Proportional to 142,078 and 310,886

Step by Step Solution

1. Step 1: Write the proportion equation
   142,078 : 310,886 = 310,886 : x
2. Step 2: Convert to fraction form
   142,078/310,886 = 310,886/x
3. Step 3: Cross multiply
   142,078x = 310,886 × 310,886
4. Step 4: Simplify right side
   142,078x = 96,650,104,996
5. Step 5: Solve for x
   x = 96,650,104,996/142,078
6. Step 6: Final answer
   x = 680,260.88