Finding the Third Proportional to 54,094 and 116,510

Step by Step Solution

1. Step 1: Write the proportion equation
   54,094 : 116,510 = 116,510 : x
2. Step 2: Convert to fraction form
   54,094/116,510 = 116,510/x
3. Step 3: Cross multiply
   54,094x = 116,510 × 116,510
4. Step 4: Simplify right side
   54,094x = 13,574,580,100
5. Step 5: Solve for x
   x = 13,574,580,100/54,094
6. Step 6: Final answer
   x = 250,944.28