Finding the Third Proportional to 54,084 and 116,216

Step by Step Solution

1. Step 1: Write the proportion equation
   54,084 : 116,216 = 116,216 : x
2. Step 2: Convert to fraction form
   54,084/116,216 = 116,216/x
3. Step 3: Cross multiply
   54,084x = 116,216 × 116,216
4. Step 4: Simplify right side
   54,084x = 13,506,158,656
5. Step 5: Solve for x
   x = 13,506,158,656/54,084
6. Step 6: Final answer
   x = 249,725.59