Finding the Third Proportional to 101,588 and 222,862

Step by Step Solution

1. Step 1: Write the proportion equation
   101,588 : 222,862 = 222,862 : x
2. Step 2: Convert to fraction form
   101,588/222,862 = 222,862/x
3. Step 3: Cross multiply
   101,588x = 222,862 × 222,862
4. Step 4: Simplify right side
   101,588x = 49,667,471,044
5. Step 5: Solve for x
   x = 49,667,471,044/101,588
6. Step 6: Final answer
   x = 488,910.81