Finding the Third Proportional to 51,480 and 111,648

Step by Step Solution

1. Step 1: Write the proportion equation
   51,480 : 111,648 = 111,648 : x
2. Step 2: Convert to fraction form
   51,480/111,648 = 111,648/x
3. Step 3: Cross multiply
   51,480x = 111,648 × 111,648
4. Step 4: Simplify right side
   51,480x = 12,465,275,904
5. Step 5: Solve for x
   x = 12,465,275,904/51,480
6. Step 6: Final answer
   x = 242,138.23