Finding the Third Proportional to 84,096 and 99,456

Step by Step Solution

1. Step 1: Write the proportion equation
   84,096 : 99,456 = 99,456 : x
2. Step 2: Convert to fraction form
   84,096/99,456 = 99,456/x
3. Step 3: Cross multiply
   84,096x = 99,456 × 99,456
4. Step 4: Simplify right side
   84,096x = 9,891,495,936
5. Step 5: Solve for x
   x = 9,891,495,936/84,096
6. Step 6: Final answer
   x = 117,621.48