Finding the Third Proportional to 200,048 and 472,223

Step by Step Solution

1. Step 1: Write the proportion equation
   200,048 : 472,223 = 472,223 : x
2. Step 2: Convert to fraction form
   200,048/472,223 = 472,223/x
3. Step 3: Cross multiply
   200,048x = 472,223 × 472,223
4. Step 4: Simplify right side
   200,048x = 222,994,561,729
5. Step 5: Solve for x
   x = 222,994,561,729/200,048
6. Step 6: Final answer
   x = 1,114,705.28