Finding the Third Proportional to 102,767 and 223,003

Step by Step Solution

1. Step 1: Write the proportion equation
   102,767 : 223,003 = 223,003 : x
2. Step 2: Convert to fraction form
   102,767/223,003 = 223,003/x
3. Step 3: Cross multiply
   102,767x = 223,003 × 223,003
4. Step 4: Simplify right side
   102,767x = 49,730,338,009
5. Step 5: Solve for x
   x = 49,730,338,009/102,767
6. Step 6: Final answer
   x = 483,913.49