Finding the Third Proportional to 154,644 and 325,884

Step by Step Solution

1. Step 1: Write the proportion equation
   154,644 : 325,884 = 325,884 : x
2. Step 2: Convert to fraction form
   154,644/325,884 = 325,884/x
3. Step 3: Cross multiply
   154,644x = 325,884 × 325,884
4. Step 4: Simplify right side
   154,644x = 106,200,381,456
5. Step 5: Solve for x
   x = 106,200,381,456/154,644
6. Step 6: Final answer
   x = 686,741.04