Finding the Third Proportional to 205,443 and 427,014

Step by Step Solution

1. Step 1: Write the proportion equation
   205,443 : 427,014 = 427,014 : x
2. Step 2: Convert to fraction form
   205,443/427,014 = 427,014/x
3. Step 3: Cross multiply
   205,443x = 427,014 × 427,014
4. Step 4: Simplify right side
   205,443x = 182,340,956,196
5. Step 5: Solve for x
   x = 182,340,956,196/205,443
6. Step 6: Final answer
   x = 887,550.10