Finding the Third Proportional to 53,464 and 116,036

Step by Step Solution

1. Step 1: Write the proportion equation
   53,464 : 116,036 = 116,036 : x
2. Step 2: Convert to fraction form
   53,464/116,036 = 116,036/x
3. Step 3: Cross multiply
   53,464x = 116,036 × 116,036
4. Step 4: Simplify right side
   53,464x = 13,464,353,296
5. Step 5: Solve for x
   x = 13,464,353,296/53,464
6. Step 6: Final answer
   x = 251,839.62