Finding the Third Proportional to 198,129 and 300,978

Step by Step Solution

1. Step 1: Write the proportion equation
   198,129 : 300,978 = 300,978 : x
2. Step 2: Convert to fraction form
   198,129/300,978 = 300,978/x
3. Step 3: Cross multiply
   198,129x = 300,978 × 300,978
4. Step 4: Simplify right side
   198,129x = 90,587,756,484
5. Step 5: Solve for x
   x = 90,587,756,484/198,129
6. Step 6: Final answer
   x = 457,216.04