Finding the Third Proportional to 300,825 and 668,892

Step by Step Solution

1. Step 1: Write the proportion equation
   300,825 : 668,892 = 668,892 : x
2. Step 2: Convert to fraction form
   300,825/668,892 = 668,892/x
3. Step 3: Cross multiply
   300,825x = 668,892 × 668,892
4. Step 4: Simplify right side
   300,825x = 447,416,507,664
5. Step 5: Solve for x
   x = 447,416,507,664/300,825
6. Step 6: Final answer
   x = 1,487,298.29