Finding the Third Proportional to 52,496 and 116,548

Step by Step Solution

1. Step 1: Write the proportion equation
   52,496 : 116,548 = 116,548 : x
2. Step 2: Convert to fraction form
   52,496/116,548 = 116,548/x
3. Step 3: Cross multiply
   52,496x = 116,548 × 116,548
4. Step 4: Simplify right side
   52,496x = 13,583,436,304
5. Step 5: Solve for x
   x = 13,583,436,304/52,496
6. Step 6: Final answer
   x = 258,751.83