Finding the Third Proportional to 51,282 and 111,420

Step by Step Solution

1. Step 1: Write the proportion equation
   51,282 : 111,420 = 111,420 : x
2. Step 2: Convert to fraction form
   51,282/111,420 = 111,420/x
3. Step 3: Cross multiply
   51,282x = 111,420 × 111,420
4. Step 4: Simplify right side
   51,282x = 12,414,416,400
5. Step 5: Solve for x
   x = 12,414,416,400/51,282
6. Step 6: Final answer
   x = 242,081.36