Finding the Third Proportional to 101,588 and 222,860

Step by Step Solution

1. Step 1: Write the proportion equation
   101,588 : 222,860 = 222,860 : x
2. Step 2: Convert to fraction form
   101,588/222,860 = 222,860/x
3. Step 3: Cross multiply
   101,588x = 222,860 × 222,860
4. Step 4: Simplify right side
   101,588x = 49,666,579,600
5. Step 5: Solve for x
   x = 49,666,579,600/101,588
6. Step 6: Final answer
   x = 488,902.03