Finding the Third Proportional to 53,345 and 116,734

Step by Step Solution

1. Step 1: Write the proportion equation
   53,345 : 116,734 = 116,734 : x
2. Step 2: Convert to fraction form
   53,345/116,734 = 116,734/x
3. Step 3: Cross multiply
   53,345x = 116,734 × 116,734
4. Step 4: Simplify right side
   53,345x = 13,626,826,756
5. Step 5: Solve for x
   x = 13,626,826,756/53,345
6. Step 6: Final answer
   x = 255,447.12