Finding the Third Proportional to 53,514 and 117,180

Step by Step Solution

1. Step 1: Write the proportion equation
   53,514 : 117,180 = 117,180 : x
2. Step 2: Convert to fraction form
   53,514/117,180 = 117,180/x
3. Step 3: Cross multiply
   53,514x = 117,180 × 117,180
4. Step 4: Simplify right side
   53,514x = 13,731,152,400
5. Step 5: Solve for x
   x = 13,731,152,400/53,514
6. Step 6: Final answer
   x = 256,589.91