Finding the Third Proportional to 54,096 and 118,026

Step by Step Solution

1. Step 1: Write the proportion equation
   54,096 : 118,026 = 118,026 : x
2. Step 2: Convert to fraction form
   54,096/118,026 = 118,026/x
3. Step 3: Cross multiply
   54,096x = 118,026 × 118,026
4. Step 4: Simplify right side
   54,096x = 13,930,136,676
5. Step 5: Solve for x
   x = 13,930,136,676/54,096
6. Step 6: Final answer
   x = 257,507.70