Finding the Third Proportional to 54,302 and 116,812

Step by Step Solution

1. Step 1: Write the proportion equation
   54,302 : 116,812 = 116,812 : x
2. Step 2: Convert to fraction form
   54,302/116,812 = 116,812/x
3. Step 3: Cross multiply
   54,302x = 116,812 × 116,812
4. Step 4: Simplify right side
   54,302x = 13,645,043,344
5. Step 5: Solve for x
   x = 13,645,043,344/54,302
6. Step 6: Final answer
   x = 251,280.68