Finding the Third Proportional to 222,188 and 317,512

Step by Step Solution

1. Step 1: Write the proportion equation
   222,188 : 317,512 = 317,512 : x
2. Step 2: Convert to fraction form
   222,188/317,512 = 317,512/x
3. Step 3: Cross multiply
   222,188x = 317,512 × 317,512
4. Step 4: Simplify right side
   222,188x = 100,813,870,144
5. Step 5: Solve for x
   x = 100,813,870,144/222,188
6. Step 6: Final answer
   x = 453,732.29