Finding the Third Proportional to 118,854 and 222,924

Step by Step Solution

1. Step 1: Write the proportion equation
   118,854 : 222,924 = 222,924 : x
2. Step 2: Convert to fraction form
   118,854/222,924 = 222,924/x
3. Step 3: Cross multiply
   118,854x = 222,924 × 222,924
4. Step 4: Simplify right side
   118,854x = 49,695,109,776
5. Step 5: Solve for x
   x = 49,695,109,776/118,854
6. Step 6: Final answer
   x = 418,118.95