Finding the Third Proportional to 51,518 and 108,570

Step by Step Solution

1. Step 1: Write the proportion equation
   51,518 : 108,570 = 108,570 : x
2. Step 2: Convert to fraction form
   51,518/108,570 = 108,570/x
3. Step 3: Cross multiply
   51,518x = 108,570 × 108,570
4. Step 4: Simplify right side
   51,518x = 11,787,444,900
5. Step 5: Solve for x
   x = 11,787,444,900/51,518
6. Step 6: Final answer
   x = 228,802.46