Finding the Third Proportional to 123,024 and 195,606

Step by Step Solution

1. Step 1: Write the proportion equation
   123,024 : 195,606 = 195,606 : x
2. Step 2: Convert to fraction form
   123,024/195,606 = 195,606/x
3. Step 3: Cross multiply
   123,024x = 195,606 × 195,606
4. Step 4: Simplify right side
   123,024x = 38,261,707,236
5. Step 5: Solve for x
   x = 38,261,707,236/123,024
6. Step 6: Final answer
   x = 311,010.11