Finding the Third Proportional to 222,183 and 317,499

Step by Step Solution

1. Step 1: Write the proportion equation
   222,183 : 317,499 = 317,499 : x
2. Step 2: Convert to fraction form
   222,183/317,499 = 317,499/x
3. Step 3: Cross multiply
   222,183x = 317,499 × 317,499
4. Step 4: Simplify right side
   222,183x = 100,805,615,001
5. Step 5: Solve for x
   x = 100,805,615,001/222,183
6. Step 6: Final answer
   x = 453,705.35