Finding the Third Proportional to 54,056 and 116,176

Step by Step Solution

1. Step 1: Write the proportion equation
   54,056 : 116,176 = 116,176 : x
2. Step 2: Convert to fraction form
   54,056/116,176 = 116,176/x
3. Step 3: Cross multiply
   54,056x = 116,176 × 116,176
4. Step 4: Simplify right side
   54,056x = 13,496,862,976
5. Step 5: Solve for x
   x = 13,496,862,976/54,056
6. Step 6: Final answer
   x = 249,682.98