Finding the Third Proportional to 80,764 and 123,968

Step by Step Solution

1. Step 1: Write the proportion equation
   80,764 : 123,968 = 123,968 : x
2. Step 2: Convert to fraction form
   80,764/123,968 = 123,968/x
3. Step 3: Cross multiply
   80,764x = 123,968 × 123,968
4. Step 4: Simplify right side
   80,764x = 15,368,065,024
5. Step 5: Solve for x
   x = 15,368,065,024/80,764
6. Step 6: Final answer
   x = 190,283.60