Finding the Third Proportional to 315,914 and 654,184

Step by Step Solution

1. Step 1: Write the proportion equation
   315,914 : 654,184 = 654,184 : x
2. Step 2: Convert to fraction form
   315,914/654,184 = 654,184/x
3. Step 3: Cross multiply
   315,914x = 654,184 × 654,184
4. Step 4: Simplify right side
   315,914x = 427,956,705,856
5. Step 5: Solve for x
   x = 427,956,705,856/315,914
6. Step 6: Final answer
   x = 1,354,662.05