Finding the Third Proportional to 101,649 and 222,930

Step by Step Solution

1. Step 1: Write the proportion equation
   101,649 : 222,930 = 222,930 : x
2. Step 2: Convert to fraction form
   101,649/222,930 = 222,930/x
3. Step 3: Cross multiply
   101,649x = 222,930 × 222,930
4. Step 4: Simplify right side
   101,649x = 49,697,784,900
5. Step 5: Solve for x
   x = 49,697,784,900/101,649
6. Step 6: Final answer
   x = 488,915.63