Finding the Third Proportional to 55,124 and 118,978

Step by Step Solution

1. Step 1: Write the proportion equation
   55,124 : 118,978 = 118,978 : x
2. Step 2: Convert to fraction form
   55,124/118,978 = 118,978/x
3. Step 3: Cross multiply
   55,124x = 118,978 × 118,978
4. Step 4: Simplify right side
   55,124x = 14,155,764,484
5. Step 5: Solve for x
   x = 14,155,764,484/55,124
6. Step 6: Final answer
   x = 256,798.57