Finding the Third Proportional to 52,021 and 113,954

Step by Step Solution

1. Step 1: Write the proportion equation
   52,021 : 113,954 = 113,954 : x
2. Step 2: Convert to fraction form
   52,021/113,954 = 113,954/x
3. Step 3: Cross multiply
   52,021x = 113,954 × 113,954
4. Step 4: Simplify right side
   52,021x = 12,985,514,116
5. Step 5: Solve for x
   x = 12,985,514,116/52,021
6. Step 6: Final answer
   x = 249,620.62