Finding the Third Proportional to 273,876 and 408,978

Step by Step Solution

1. Step 1: Write the proportion equation
   273,876 : 408,978 = 408,978 : x
2. Step 2: Convert to fraction form
   273,876/408,978 = 408,978/x
3. Step 3: Cross multiply
   273,876x = 408,978 × 408,978
4. Step 4: Simplify right side
   273,876x = 167,263,004,484
5. Step 5: Solve for x
   x = 167,263,004,484/273,876
6. Step 6: Final answer
   x = 610,725.31