Finding the Third Proportional to 90,454 and 196,978

Step by Step Solution

1. Step 1: Write the proportion equation
   90,454 : 196,978 = 196,978 : x
2. Step 2: Convert to fraction form
   90,454/196,978 = 196,978/x
3. Step 3: Cross multiply
   90,454x = 196,978 × 196,978
4. Step 4: Simplify right side
   90,454x = 38,800,332,484
5. Step 5: Solve for x
   x = 38,800,332,484/90,454
6. Step 6: Final answer
   x = 428,950.99