Finding the Third Proportional to 53,462 and 116,031

Step by Step Solution

1. Step 1: Write the proportion equation
   53,462 : 116,031 = 116,031 : x
2. Step 2: Convert to fraction form
   53,462/116,031 = 116,031/x
3. Step 3: Cross multiply
   53,462x = 116,031 × 116,031
4. Step 4: Simplify right side
   53,462x = 13,463,192,961
5. Step 5: Solve for x
   x = 13,463,192,961/53,462
6. Step 6: Final answer
   x = 251,827.33