Finding the Third Proportional to 51,642 and 111,978

Step by Step Solution

1. Step 1: Write the proportion equation
   51,642 : 111,978 = 111,978 : x
2. Step 2: Convert to fraction form
   51,642/111,978 = 111,978/x
3. Step 3: Cross multiply
   51,642x = 111,978 × 111,978
4. Step 4: Simplify right side
   51,642x = 12,539,072,484
5. Step 5: Solve for x
   x = 12,539,072,484/51,642
6. Step 6: Final answer
   x = 242,807.65