Finding the Third Proportional to 77,978 and 123,965.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,978 : 123,965.75 = 123,965.75 : x
2. Step 2: Convert to fraction form
   77,978/123,965.75 = 123,965.75/x
3. Step 3: Cross multiply
   77,978x = 123,965.75 × 123,965.75
4. Step 4: Simplify right side
   77,978x = 15,367,507,173.06
5. Step 5: Solve for x
   x = 15,367,507,173.06/77,978
6. Step 6: Final answer
   x = 197,074.91