Finding the Third Proportional to 219,006 and 472,968

Step by Step Solution

1. Step 1: Write the proportion equation
   219,006 : 472,968 = 472,968 : x
2. Step 2: Convert to fraction form
   219,006/472,968 = 472,968/x
3. Step 3: Cross multiply
   219,006x = 472,968 × 472,968
4. Step 4: Simplify right side
   219,006x = 223,698,729,024
5. Step 5: Solve for x
   x = 223,698,729,024/219,006
6. Step 6: Final answer
   x = 1,021,427.40