Finding the Third Proportional to 101,649 and 222,924

Step by Step Solution

1. Step 1: Write the proportion equation
   101,649 : 222,924 = 222,924 : x
2. Step 2: Convert to fraction form
   101,649/222,924 = 222,924/x
3. Step 3: Cross multiply
   101,649x = 222,924 × 222,924
4. Step 4: Simplify right side
   101,649x = 49,695,109,776
5. Step 5: Solve for x
   x = 49,695,109,776/101,649
6. Step 6: Final answer
   x = 488,889.31