Finding the Third Proportional to 278,682 and 427,016

Step by Step Solution

1. Step 1: Write the proportion equation
   278,682 : 427,016 = 427,016 : x
2. Step 2: Convert to fraction form
   278,682/427,016 = 427,016/x
3. Step 3: Cross multiply
   278,682x = 427,016 × 427,016
4. Step 4: Simplify right side
   278,682x = 182,342,664,256
5. Step 5: Solve for x
   x = 182,342,664,256/278,682
6. Step 6: Final answer
   x = 654,303.70