Finding the Third Proportional to 100,032 and 213,456

Step by Step Solution

1. Step 1: Write the proportion equation
   100,032 : 213,456 = 213,456 : x
2. Step 2: Convert to fraction form
   100,032/213,456 = 213,456/x
3. Step 3: Cross multiply
   100,032x = 213,456 × 213,456
4. Step 4: Simplify right side
   100,032x = 45,563,463,936
5. Step 5: Solve for x
   x = 45,563,463,936/100,032
6. Step 6: Final answer
   x = 455,488.88