Finding the Third Proportional to 124,978 and 193,570

Step by Step Solution

1. Step 1: Write the proportion equation
   124,978 : 193,570 = 193,570 : x
2. Step 2: Convert to fraction form
   124,978/193,570 = 193,570/x
3. Step 3: Cross multiply
   124,978x = 193,570 × 193,570
4. Step 4: Simplify right side
   124,978x = 37,469,344,900
5. Step 5: Solve for x
   x = 37,469,344,900/124,978
6. Step 6: Final answer
   x = 299,807.53