Finding the Third Proportional to 222,580 and 471,648

Step by Step Solution

1. Step 1: Write the proportion equation
   222,580 : 471,648 = 471,648 : x
2. Step 2: Convert to fraction form
   222,580/471,648 = 471,648/x
3. Step 3: Cross multiply
   222,580x = 471,648 × 471,648
4. Step 4: Simplify right side
   222,580x = 222,451,835,904
5. Step 5: Solve for x
   x = 222,451,835,904/222,580
6. Step 6: Final answer
   x = 999,424.19