Finding the Third Proportional to 101,588 and 222,866

Step by Step Solution

1. Step 1: Write the proportion equation
   101,588 : 222,866 = 222,866 : x
2. Step 2: Convert to fraction form
   101,588/222,866 = 222,866/x
3. Step 3: Cross multiply
   101,588x = 222,866 × 222,866
4. Step 4: Simplify right side
   101,588x = 49,669,253,956
5. Step 5: Solve for x
   x = 49,669,253,956/101,588
6. Step 6: Final answer
   x = 488,928.36