Finding the Third Proportional to 51,471 and 111,630

Step by Step Solution

1. Step 1: Write the proportion equation
   51,471 : 111,630 = 111,630 : x
2. Step 2: Convert to fraction form
   51,471/111,630 = 111,630/x
3. Step 3: Cross multiply
   51,471x = 111,630 × 111,630
4. Step 4: Simplify right side
   51,471x = 12,461,256,900
5. Step 5: Solve for x
   x = 12,461,256,900/51,471
6. Step 6: Final answer
   x = 242,102.48