Finding the Third Proportional to 51,188 and 107,978

Step by Step Solution

1. Step 1: Write the proportion equation
   51,188 : 107,978 = 107,978 : x
2. Step 2: Convert to fraction form
   51,188/107,978 = 107,978/x
3. Step 3: Cross multiply
   51,188x = 107,978 × 107,978
4. Step 4: Simplify right side
   51,188x = 11,659,248,484
5. Step 5: Solve for x
   x = 11,659,248,484/51,188
6. Step 6: Final answer
   x = 227,773.08