Finding the Third Proportional to 52,506 and 116,568

Step by Step Solution

1. Step 1: Write the proportion equation
   52,506 : 116,568 = 116,568 : x
2. Step 2: Convert to fraction form
   52,506/116,568 = 116,568/x
3. Step 3: Cross multiply
   52,506x = 116,568 × 116,568
4. Step 4: Simplify right side
   52,506x = 13,588,098,624
5. Step 5: Solve for x
   x = 13,588,098,624/52,506
6. Step 6: Final answer
   x = 258,791.35