Finding the Third Proportional to 143,676 and 314,104

Step by Step Solution

1. Step 1: Write the proportion equation
   143,676 : 314,104 = 314,104 : x
2. Step 2: Convert to fraction form
   143,676/314,104 = 314,104/x
3. Step 3: Cross multiply
   143,676x = 314,104 × 314,104
4. Step 4: Simplify right side
   143,676x = 98,661,322,816
5. Step 5: Solve for x
   x = 98,661,322,816/143,676
6. Step 6: Final answer
   x = 686,693.13