Finding the Third Proportional to 102,003 and 222,151

Step by Step Solution

1. Step 1: Write the proportion equation
   102,003 : 222,151 = 222,151 : x
2. Step 2: Convert to fraction form
   102,003/222,151 = 222,151/x
3. Step 3: Cross multiply
   102,003x = 222,151 × 222,151
4. Step 4: Simplify right side
   102,003x = 49,351,066,801
5. Step 5: Solve for x
   x = 49,351,066,801/102,003
6. Step 6: Final answer
   x = 483,819.76