Finding the Third Proportional to 145,442 and 317,164

Step by Step Solution

1. Step 1: Write the proportion equation
   145,442 : 317,164 = 317,164 : x
2. Step 2: Convert to fraction form
   145,442/317,164 = 317,164/x
3. Step 3: Cross multiply
   145,442x = 317,164 × 317,164
4. Step 4: Simplify right side
   145,442x = 100,593,002,896
5. Step 5: Solve for x
   x = 100,593,002,896/145,442
6. Step 6: Final answer
   x = 691,636.55