Finding the Third Proportional to 53,801 and 117,834

Step by Step Solution

1. Step 1: Write the proportion equation
   53,801 : 117,834 = 117,834 : x
2. Step 2: Convert to fraction form
   53,801/117,834 = 117,834/x
3. Step 3: Cross multiply
   53,801x = 117,834 × 117,834
4. Step 4: Simplify right side
   53,801x = 13,884,851,556
5. Step 5: Solve for x
   x = 13,884,851,556/53,801
6. Step 6: Final answer
   x = 258,077.95