Finding the Third Proportional to 52,978 and 108,386

Step by Step Solution

1. Step 1: Write the proportion equation
   52,978 : 108,386 = 108,386 : x
2. Step 2: Convert to fraction form
   52,978/108,386 = 108,386/x
3. Step 3: Cross multiply
   52,978x = 108,386 × 108,386
4. Step 4: Simplify right side
   52,978x = 11,747,524,996
5. Step 5: Solve for x
   x = 11,747,524,996/52,978
6. Step 6: Final answer
   x = 221,743.46