Finding the Third Proportional to 65,840 and 96,456

Step by Step Solution

1. Step 1: Write the proportion equation
   65,840 : 96,456 = 96,456 : x
2. Step 2: Convert to fraction form
   65,840/96,456 = 96,456/x
3. Step 3: Cross multiply
   65,840x = 96,456 × 96,456
4. Step 4: Simplify right side
   65,840x = 9,303,759,936
5. Step 5: Solve for x
   x = 9,303,759,936/65,840
6. Step 6: Final answer
   x = 141,308.63