Finding the Third Proportional to 54,612 and 116,816

Step by Step Solution

1. Step 1: Write the proportion equation
   54,612 : 116,816 = 116,816 : x
2. Step 2: Convert to fraction form
   54,612/116,816 = 116,816/x
3. Step 3: Cross multiply
   54,612x = 116,816 × 116,816
4. Step 4: Simplify right side
   54,612x = 13,645,977,856
5. Step 5: Solve for x
   x = 13,645,977,856/54,612
6. Step 6: Final answer
   x = 249,871.42