Finding the Third Proportional to 195,768 and 375,978

Step by Step Solution

1. Step 1: Write the proportion equation
   195,768 : 375,978 = 375,978 : x
2. Step 2: Convert to fraction form
   195,768/375,978 = 375,978/x
3. Step 3: Cross multiply
   195,768x = 375,978 × 375,978
4. Step 4: Simplify right side
   195,768x = 141,359,456,484
5. Step 5: Solve for x
   x = 141,359,456,484/195,768
6. Step 6: Final answer
   x = 722,076.42