Finding the Third Proportional to 54,116 and 116,280

Step by Step Solution

1. Step 1: Write the proportion equation
   54,116 : 116,280 = 116,280 : x
2. Step 2: Convert to fraction form
   54,116/116,280 = 116,280/x
3. Step 3: Cross multiply
   54,116x = 116,280 × 116,280
4. Step 4: Simplify right side
   54,116x = 13,521,038,400
5. Step 5: Solve for x
   x = 13,521,038,400/54,116
6. Step 6: Final answer
   x = 249,852.88