Finding the Third Proportional to 52,558 and 116,780

Step by Step Solution

1. Step 1: Write the proportion equation
   52,558 : 116,780 = 116,780 : x
2. Step 2: Convert to fraction form
   52,558/116,780 = 116,780/x
3. Step 3: Cross multiply
   52,558x = 116,780 × 116,780
4. Step 4: Simplify right side
   52,558x = 13,637,568,400
5. Step 5: Solve for x
   x = 13,637,568,400/52,558
6. Step 6: Final answer
   x = 259,476.55