Finding the Third Proportional to 51,524 and 108,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,524 : 108,582.50 = 108,582.50 : x
2. Step 2: Convert to fraction form
   51,524/108,582.50 = 108,582.50/x
3. Step 3: Cross multiply
   51,524x = 108,582.50 × 108,582.50
4. Step 4: Simplify right side
   51,524x = 11,790,159,306.25
5. Step 5: Solve for x
   x = 11,790,159,306.25/51,524
6. Step 6: Final answer
   x = 228,828.49