Finding the Third Proportional to 77,980 and 123,968.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,980 : 123,968.75 = 123,968.75 : x
2. Step 2: Convert to fraction form
   77,980/123,968.75 = 123,968.75/x
3. Step 3: Cross multiply
   77,980x = 123,968.75 × 123,968.75
4. Step 4: Simplify right side
   77,980x = 15,368,250,976.56
5. Step 5: Solve for x
   x = 15,368,250,976.56/77,980
6. Step 6: Final answer
   x = 197,079.39