Finding the Third Proportional to 159,097 and 223,003

Step by Step Solution

1. Step 1: Write the proportion equation
   159,097 : 223,003 = 223,003 : x
2. Step 2: Convert to fraction form
   159,097/223,003 = 223,003/x
3. Step 3: Cross multiply
   159,097x = 223,003 × 223,003
4. Step 4: Simplify right side
   159,097x = 49,730,338,009
5. Step 5: Solve for x
   x = 49,730,338,009/159,097
6. Step 6: Final answer
   x = 312,578.73