Finding the Third Proportional to 53,874 and 118,034

Step by Step Solution

1. Step 1: Write the proportion equation
   53,874 : 118,034 = 118,034 : x
2. Step 2: Convert to fraction form
   53,874/118,034 = 118,034/x
3. Step 3: Cross multiply
   53,874x = 118,034 × 118,034
4. Step 4: Simplify right side
   53,874x = 13,932,025,156
5. Step 5: Solve for x
   x = 13,932,025,156/53,874
6. Step 6: Final answer
   x = 258,603.87