Finding the Third Proportional to 145,844 and 315,016

Step by Step Solution

1. Step 1: Write the proportion equation
   145,844 : 315,016 = 315,016 : x
2. Step 2: Convert to fraction form
   145,844/315,016 = 315,016/x
3. Step 3: Cross multiply
   145,844x = 315,016 × 315,016
4. Step 4: Simplify right side
   145,844x = 99,235,080,256
5. Step 5: Solve for x
   x = 99,235,080,256/145,844
6. Step 6: Final answer
   x = 680,419.35