Finding the Third Proportional to 77,980 and 123,968

Step by Step Solution

1. Step 1: Write the proportion equation
   77,980 : 123,968 = 123,968 : x
2. Step 2: Convert to fraction form
   77,980/123,968 = 123,968/x
3. Step 3: Cross multiply
   77,980x = 123,968 × 123,968
4. Step 4: Simplify right side
   77,980x = 15,368,065,024
5. Step 5: Solve for x
   x = 15,368,065,024/77,980
6. Step 6: Final answer
   x = 197,077.01