Finding the Third Proportional to 51,596.68 and 111,780.47

Step by Step Solution

1. Step 1: Write the proportion equation
   51,596.68 : 111,780.47 = 111,780.47 : x
2. Step 2: Convert to fraction form
   51,596.68/111,780.47 = 111,780.47/x
3. Step 3: Cross multiply
   51,596.68x = 111,780.47 × 111,780.47
4. Step 4: Simplify right side
   51,596.68x = 12,494,874,503.90
5. Step 5: Solve for x
   x = 12,494,874,503.90/51,596.68
6. Step 6: Final answer
   x = 242,164.29