Finding the Third Proportional to 119,235 and 261,978

Step by Step Solution

1. Step 1: Write the proportion equation
   119,235 : 261,978 = 261,978 : x
2. Step 2: Convert to fraction form
   119,235/261,978 = 261,978/x
3. Step 3: Cross multiply
   119,235x = 261,978 × 261,978
4. Step 4: Simplify right side
   119,235x = 68,632,472,484
5. Step 5: Solve for x
   x = 68,632,472,484/119,235
6. Step 6: Final answer
   x = 575,606.76