Finding the Third Proportional to 99,000 and 213,456

Step by Step Solution

1. Step 1: Write the proportion equation
   99,000 : 213,456 = 213,456 : x
2. Step 2: Convert to fraction form
   99,000/213,456 = 213,456/x
3. Step 3: Cross multiply
   99,000x = 213,456 × 213,456
4. Step 4: Simplify right side
   99,000x = 45,563,463,936
5. Step 5: Solve for x
   x = 45,563,463,936/99,000
6. Step 6: Final answer
   x = 460,237.01