Finding the Third Proportional to 219,456 and 472,206

Step by Step Solution

1. Step 1: Write the proportion equation
   219,456 : 472,206 = 472,206 : x
2. Step 2: Convert to fraction form
   219,456/472,206 = 472,206/x
3. Step 3: Cross multiply
   219,456x = 472,206 × 472,206
4. Step 4: Simplify right side
   219,456x = 222,978,506,436
5. Step 5: Solve for x
   x = 222,978,506,436/219,456
6. Step 6: Final answer
   x = 1,016,051.08