Finding the Third Proportional to 51,090 and 111,684

Step by Step Solution

1. Step 1: Write the proportion equation
   51,090 : 111,684 = 111,684 : x
2. Step 2: Convert to fraction form
   51,090/111,684 = 111,684/x
3. Step 3: Cross multiply
   51,090x = 111,684 × 111,684
4. Step 4: Simplify right side
   51,090x = 12,473,315,856
5. Step 5: Solve for x
   x = 12,473,315,856/51,090
6. Step 6: Final answer
   x = 244,143.98