Finding the Third Proportional to 51,404 and 111,536

Step by Step Solution

1. Step 1: Write the proportion equation
   51,404 : 111,536 = 111,536 : x
2. Step 2: Convert to fraction form
   51,404/111,536 = 111,536/x
3. Step 3: Cross multiply
   51,404x = 111,536 × 111,536
4. Step 4: Simplify right side
   51,404x = 12,440,279,296
5. Step 5: Solve for x
   x = 12,440,279,296/51,404
6. Step 6: Final answer
   x = 242,009.95