Finding the Third Proportional to 159,024 and 222,870

Step by Step Solution

1. Step 1: Write the proportion equation
   159,024 : 222,870 = 222,870 : x
2. Step 2: Convert to fraction form
   159,024/222,870 = 222,870/x
3. Step 3: Cross multiply
   159,024x = 222,870 × 222,870
4. Step 4: Simplify right side
   159,024x = 49,671,036,900
5. Step 5: Solve for x
   x = 49,671,036,900/159,024
6. Step 6: Final answer
   x = 312,349.31