Finding the Third Proportional to 219,444 and 472,188

Step by Step Solution

1. Step 1: Write the proportion equation
   219,444 : 472,188 = 472,188 : x
2. Step 2: Convert to fraction form
   219,444/472,188 = 472,188/x
3. Step 3: Cross multiply
   219,444x = 472,188 × 472,188
4. Step 4: Simplify right side
   219,444x = 222,961,507,344
5. Step 5: Solve for x
   x = 222,961,507,344/219,444
6. Step 6: Final answer
   x = 1,016,029.18