Finding the Third Proportional to 53,618 and 117,810

Step by Step Solution

1. Step 1: Write the proportion equation
   53,618 : 117,810 = 117,810 : x
2. Step 2: Convert to fraction form
   53,618/117,810 = 117,810/x
3. Step 3: Cross multiply
   53,618x = 117,810 × 117,810
4. Step 4: Simplify right side
   53,618x = 13,879,196,100
5. Step 5: Solve for x
   x = 13,879,196,100/53,618
6. Step 6: Final answer
   x = 258,853.30