Finding the Third Proportional to 65,096 and 134,080

Step by Step Solution

1. Step 1: Write the proportion equation
   65,096 : 134,080 = 134,080 : x
2. Step 2: Convert to fraction form
   65,096/134,080 = 134,080/x
3. Step 3: Cross multiply
   65,096x = 134,080 × 134,080
4. Step 4: Simplify right side
   65,096x = 17,977,446,400
5. Step 5: Solve for x
   x = 17,977,446,400/65,096
6. Step 6: Final answer
   x = 276,168.22