Finding the Third Proportional to 53,323 and 116,689

Step by Step Solution

1. Step 1: Write the proportion equation
   53,323 : 116,689 = 116,689 : x
2. Step 2: Convert to fraction form
   53,323/116,689 = 116,689/x
3. Step 3: Cross multiply
   53,323x = 116,689 × 116,689
4. Step 4: Simplify right side
   53,323x = 13,616,322,721
5. Step 5: Solve for x
   x = 13,616,322,721/53,323
6. Step 6: Final answer
   x = 255,355.53